Frontiers of Mathematics in China >

2007 , Vol. 2 >Issue 2: 287 - 303

DOI: https://doi.org/10.1007/s11464-007-0019-0

Commutators on Lipschitz spaces and related function spaces

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  • Department of Mathematics, The University of Alabama, Tuscaloosa, AL 35487, USA;

Published date: 05 Jun 2007

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Abstract

We characterize the symbol functions so that the associated commutators with symbol functions and the Hilbert transform are bounded on Lipschitz space ∧pα, where 1 < p < " and 0 < α < 1/p. Properties of such symbols are also discussed.

Cite this article

Zhijian Wu . Commutators on Lipschitz spaces and related function spaces[J]. Frontiers of Mathematics in China, 2007 , 2(2) : 287 -303 . DOI: 10.1007/s11464-007-0019-0

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