☆ 4.4 Article

Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces

BANACH JOURNAL OF MATHEMATICAL ANALYSIS (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics

The boundedness of fractional integral operators in local and global mixed Morrey-type spaces

Houkun Zhang et al.

Summary: In this paper, we introduce the local and global mixed Morrey-type spaces and study the boundedness of the fractional integral operator Ia in these spaces. We investigate sufficient and necessary conditions in mixed-norm Lebesgue spaces and necessary conditions for boundedness in the local mixed Morrey-type spaces. Furthermore, we prove the boundedness of I-alpha by utilizing Hardy operators' boundedness in weighted Lebesgue spaces. Additionally, we obtain the boundedness of I-alpha in global mixed Morrey-type spaces and establish some corollaries.

POSITIVITY (2022)

添加到收藏夹

Article Mathematics

Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents

Kwok-Pun Ho

Summary: This study establishes the mapping properties of fractional integral operators on Herz-Hardy spaces with variable exponents using extrapolation. In particular, our main results provide the mapping properties for fractional integral operators on Herz-Hardy spaces.

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN (2022)

添加到收藏夹

Article Mathematics, Applied

BOUNDEDNESS CRITERION FOR SUBLINEAR OPERATORS AND COMMUTATORS ON GENERALIZED MIXED MORREY SPACES

Mingquan Wei

Summary: This paper studies the boundedness of a large class of sublinear operators on generalized mixed Morrey spaces, including the T-alpha operators generated by Calderon-Zygmund operators and fractional integral operators, as well as their commutators. Applications to various operators such as Hardy-Littlewood maximal operator and Calderon-Zygmund singular integral operators are also discussed.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION (2022)

添加到收藏夹

Article Mathematics

Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces II: Littlewood-Paley Characterizations and Real Interpolation

Songbai Wang et al.

Summary: This article explores various Littlewood-Paley function characterizations of W H-X (R-n) under weak assumptions, and establishes the relationship between the real interpolation intermediate space and W H-X (R-n). The results have wide applications, especially in Morrey space, mixed-norm Lebesgue space, Orlicz-slice space, and weighted Orlicz space, where new findings are made. Additionally, the existing results on variable Lebesgue space and Littlewood-Paley function characterizations of W H-X (R-n) are improved by weakening the assumptions.

JOURNAL OF GEOMETRIC ANALYSIS (2021)

添加到收藏夹

Article Mathematics

Atomic Decomposition for Mixed Morrey Spaces

Toru Nogayama et al.

Summary: This paper investigates norm estimates for mixed Morrey spaces, introducing a new norm estimate applicable to mixed Lebesgue spaces with optimal parameter conditions, and applying it to obtain the Olsen inequality for mixed Morrey spaces.

JOURNAL OF GEOMETRIC ANALYSIS (2021)

添加到收藏夹

Article Mathematics, Applied

Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents

Kwok-Pun Ho

Summary: This paper establishes the mapping properties of singular integral operators, Littlewood-Paley functions, and maximal Bochner-Riesz means on the Hardy local Morrey spaces with variable exponents using extrapolation theory.

BULLETIN DES SCIENCES MATHEMATIQUES (2021)

添加到收藏夹

Article Mathematics, Applied

Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces

V. S. Guliyev et al.

Summary: The aim of this paper is to prove regularity results for the first derivatives of solutions of a divergence elliptic second-order equation in Modified Local Generalized Morrey Spaces. The main approach involves an explicit representation formula using singular integral operators and commutators with Calderon-Zygmund kernels, combined with Morrey-type estimates.

ANALYSIS AND MATHEMATICAL PHYSICS (2021)

添加到收藏夹

Article Mathematics, Applied

Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces

Kwok-Pun Ho

Summary: In this study, the mapping properties of various operators, including singular integral operators, Fourier integral operators, and geometric maximal operators, in different slice spaces were established using extrapolation. Additionally, the mapping properties of maximal Bochner-Riesz means, parametric Marcinkiewicz integrals, and multiplier operators on Hardy Orlicz-slice spaces were obtained by extending the extrapolation theory.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2021)

添加到收藏夹

Article Mathematics, Applied

Muckenhoupt-Type Conditions on Weighted Morrey Spaces

Javier Duoandikoetxea et al.

Summary: By defining a Muckenhoup-type condition on weighted Morrey spaces using the Kothe dual of the space, we have shown its necessity and sufficiency for the boundedness of certain operators. Additionally, we have explored the impact of this condition on the boundedness of operators in different Morrey spaces.

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS (2021)

添加到收藏夹

Article Mathematics, Applied

Weak Hardy-type spaces associated with ball quasi-Banach function spaces I: Decompositions with applications to boundedness of Calderon-Zygmund operators

Yangyang Zhang et al.

Summary: In this article, the weak Hardy-type space WHX(R-n) associated with a ball quasi-Banach function space X on R-n is introduced through the radial maximal function. Real-variable characterizations of WHX(R-n) are established in terms of various maximal functions, atoms, and molecules. Applications include proving the boundedness of Calderon-Zygmund operators from the Hardy space H-X(R-n) to WHX(R-n), which includes critical cases. These results have wide applications and potential for further generalization.

SCIENCE CHINA-MATHEMATICS (2021)

添加到收藏夹

Article Mathematics

Beurling-Ahlfors Commutators on Weighted Morrey Spaces and Applications to Beltrami Equations

Jin Tao et al.

POTENTIAL ANALYSIS (2020)

添加到收藏夹

Article Mathematics, Applied

Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

Fan Wang et al.

RESULTS IN MATHEMATICS (2020)

添加到收藏夹

Article Mathematics, Applied

Sublinear operators on block-type spaces

Kwok-Pun Ho

SCIENCE CHINA-MATHEMATICS (2020)

添加到收藏夹

Article Mathematics

Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces

Xianjie Yan et al.

FRONTIERS OF MATHEMATICS IN CHINA (2020)

添加到收藏夹

Article Mathematics, Applied

Polynomial approach to cyclicity for weighted l(A)(p)

Daniel Seco et al.

BANACH JOURNAL OF MATHEMATICAL ANALYSIS (2020)

添加到收藏夹

Article Mathematics

Atomic and Littlewood-Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications

Long Huang et al.

JOURNAL OF GEOMETRIC ANALYSIS (2019)

添加到收藏夹

Article Mathematics

Mixed Morrey spaces

Toru Nogayama

POSITIVITY (2019)

添加到收藏夹

Article Mathematics, Applied

Sublinear operators on weighted Hardy spaces with variable exponents

Kwok-Pun Ho

FORUM MATHEMATICUM (2019)

添加到收藏夹

Article Mathematics, Applied

Boundedness of commutators of fractional integral operators on mixed Morrey spaces

Toru Nogayama

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS (2019)

添加到收藏夹

Article Mathematics, Applied

Weighted extrapolation in grand Morrey spaces and applications to partial differential equations

Vakhtang Kokilashvili et al.

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI (2019)

添加到收藏夹

Article Mathematics

Existence and large time behavior to coupled chemotaxis-fluid equations in Besov-Morrey spaces

Minghua Yang et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2019)

添加到收藏夹

Article Mathematics

Morrey-type Space and Its Kothe Dual Space

Mieczyslaw Mastylo et al.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY (2018)

添加到收藏夹

Article Mathematics

Extension and Boundedness of Operators on Morrey Spaces from Extrapolation Techniques and Embeddings

Javier Duoandikoetxea et al.

JOURNAL OF GEOMETRIC ANALYSIS (2018)

添加到收藏夹

Article Mathematics

Intrinsic Square Functions on Morrey and Block Spaces with Variable Exponents

Kwok-Pun Ho

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY (2017)

添加到收藏夹

Article Mathematics, Applied

Extrapolation, John-Nirenberg inequalities and characterizations of in terms of Morrey type spaces

Kwok-Pun Ho

REVISTA MATEMATICA COMPLUTENSE (2017)

添加到收藏夹

Article Mathematics

Anisotropic Mixed-Norm Hardy Spaces

G. Cleanthous et al.

JOURNAL OF GEOMETRIC ANALYSIS (2017)

添加到收藏夹

Article Mathematics, Applied

Weighted variation inequalities for differential operators and singular integrals in higher dimensions

Tao Ma et al.

SCIENCE CHINA-MATHEMATICS (2017)

添加到收藏夹

Article Mathematics, Applied

Generalized Hardy-Morrey Spaces

Ali Akbulut et al.

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN (2017)

添加到收藏夹

Article Mathematics, Applied

Weighted Oscillation and Variation Inequalities for Singular Integrals and Commutators Satisfying Hormander Type Conditions

Jing Zhang et al.

ACTA MATHEMATICA SINICA-ENGLISH SERIES (2017)

添加到收藏夹

Article Mathematics, Applied

The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality

Marcel Rosenthal et al.

REVISTA MATEMATICA COMPLUTENSE (2016)

添加到收藏夹

Article Mathematics, Applied

PARAMETRIC MARCINKIEWICZ INTEGRALS ON THE WEIGHTED HARDY AND WEAK HARDY SPACES

Hua Wang

JOURNAL OF MATHEMATICAL INEQUALITIES (2016)

添加到收藏夹

Article Mathematics

Global Regularity in Generalized Morrey Spaces of Solutions to Nondivergence Elliptic Equations with VMO Coefficients

Vagif S. Guliyev et al.

POTENTIAL ANALYSIS (2013)

添加到收藏夹

Article Mathematics, Applied

BESOV-KOTHE SPACES AND APPLICATIONS

Kwok-Pun Ho

ANNALS OF FUNCTIONAL ANALYSIS (2013)

添加到收藏夹

Article Mathematics

Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces

Vagif S. Guliyev et al.

INTEGRAL EQUATIONS AND OPERATOR THEORY (2011)

添加到收藏夹

Article Mathematics

GENERALIZED FRACTIONAL INTEGRAL OPERATORS AND FRACTIONAL MAXIMAL OPERATORS IN THE FRAMEWORK OF MORREY SPACES

Yoshihiro Sawano et al.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2011)

添加到收藏夹

Article Mathematics

Predual Spaces of Morrey Spaces with Non-doubling Measures

Yoshihiro SAWANO et al.

Tokyo Journal of Mathematics (2010)

添加到收藏夹

Article Mathematics, Applied

A Note on Besov-Morrey Spaces and Triebel-Lizorkin-Morrey Spaces

Yoshihiro Sawano

ACTA MATHEMATICA SINICA-ENGLISH SERIES (2009)

添加到收藏夹

Article Mathematics, Applied

Decomposition of Hardy-Morrey spaces

Jia Houyu et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2009)

添加到收藏夹

Article Mathematics

Decompositions of besov-morrey spaces and triebel-lizorkin-morrey spaces

Yoshihiro Sawano et al.

MATHEMATISCHE ZEITSCHRIFT (2007)

添加到收藏夹

Article Mathematics, Applied

Weighted norm inequalities of Bochner-Riesz means

Ming-Yi Lee

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2006)

添加到收藏夹

Article Mathematics

Extrapolation from A∞ weights and applications

D Cruz-Uribe et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2004)

添加到收藏夹

Article Mathematics, Applied

Calderon-Zygmund operators on the predual of a Morrey space

Y Komori

ACTA MATHEMATICA SINICA-ENGLISH SERIES (2003)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.