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Volume 27, Issue 3
BMO Boundedness for Banach Space Valued Singular Integrals

Chunjie Zhang

DOI: 10.1007/s10496-011-0278-1

Anal. Theory Appl., 27 (2011), pp. 278-287.

Published online: 2011-08

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  • 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.

  • Keywords

BMO, Banach space valued singular integral.

  • AMS Subject Headings

42B20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-27-278, author = {Chunjie Zhang}, title = {BMO Boundedness for Banach Space Valued Singular Integrals}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {3}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0278-1}, url = {http://global-sci.org/intro/article_detail/ata/4600.html} }
TY - JOUR T1 - BMO Boundedness for Banach Space Valued Singular Integrals AU - Chunjie Zhang JO - Analysis in Theory and Applications VL - 3 SP - 278 EP - 287 PY - 2011 DA - 2011/08 SN - 27 DO - http://doi.org/10.1007/s10496-011-0278-1 UR - https://global-sci.org/intro/article_detail/ata/4600.html KW - BMO, Banach space valued singular integral. AB -

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.

Chunjie Zhang. (2011). BMO Boundedness for Banach Space Valued Singular Integrals. Analysis in Theory and Applications. 27 (3). 278-287. doi:10.1007/s10496-011-0278-1
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