Journal
ACTA MATHEMATICA SCIENTIA
Volume 43, Issue 4, Pages 1587-1602Publisher
SPRINGER
DOI: 10.1007/s10473-023-0409-8
Keywords
omega-type Calderon-Zygmund operator; commutators; Lorentz space; homogeneous space
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This paper investigates the boundedness and compactness of the commutator [b, T-omega] generated by a symbol function b on the Lorentz space L-p,L-r (X), as well as the omega-type Calderon-Zygmund operator T-omega. The results hold for any p in the range (1, infinity) and r in the range [1, infinity).
In this paper, the authors consider the omega-type Calderon-Zygmund operator T-omega and the commutator [b, T-omega] generated by a symbol function b on the Lorentz space L-p,L-r (X) over the homogeneous space (X, d, mu). The boundedness and the compactness of the commutator [b, T-omega] on Lorentz space L-p,L-r (X) are founded for any p is an element of (1, infinity) and r is an element of [1, infinity).
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