Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 394, Issue 2, Pages 781-795Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.04.043
Keywords
Herz space; Variable exponent; Embeddings; Sublinear operator
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Funding
- FEDER funds through COMPETE-Operational Programme Factors of Competitiveness (Programa Operacional Factores de Competitividade)
- Portuguese funds through the Center for Research and Development in Mathematics and Applications (University of Aveiro)
- Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [PEst-C/MAT/UI4106/2011]
- COMPETE [FCOMP-01-0124-FEDER-022690]
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We investigate both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents. Under natural regularity assumptions on the exponent functions, we prove the boundedness of a wide class of sublinear operators on these spaces, which includes maximal, potential and Calderon-Zygmund operators. (C) 2012 Elsevier Inc. All rights reserved.
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