BMO Boundedness for Banach Space Valued Singular Integrals

BMO Boundedness for Banach Space Valued Singular Integrals

Year:    2011

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 3 : pp. 278–287

Abstract

In this paper, we consider a class of Banach space valued singular integrals. The $L^p$ boundedness of these operators has already been obtained. We shall discuss their boundedness from BMO to BMO. As applications, we get BMO boundedness for the classic $g$-function and the Marcinkiewicz integral. Some known results are improved.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.1007/s10496-011-0278-1

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 3 : pp. 278–287

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    BMO Banach space valued singular integral.