Necessary and sufficient conditions for boundedness of commutators of strongly singular integral operators with weighted Lipschitz functions

Xiaosha Zhou and Lanzhe Liu ()
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Xiaosha Zhou: Changsha University of Science and Technology
Lanzhe Liu: Changsha University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 6, 405-416

Abstract: Abstract In this paper, we prove the commutator T b generated by the strongly singular integral operator T and the function b is bounded from L p (w) to L q (w 1−q ) if and only if b ∈ Lip β (w), where w ∈ A 1, 0

Keywords: Strongly singular integral operator; Commutator; Weighted Lipschitz space (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0026-4

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