Littlewood-Paley operators on BMO-Reference-Cited by-同舟云学术

Littlewood-Paley operators on BMO

Published:1987 Issue:4 Volume:99 Page:657-666
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kurtz Douglas S.

Abstract

Two Littlewood-Paley operators, the area integral and the function g λ ∗ g_\lambda ^ * , are considered as operators on functions of bounded mean oscillation. It is proved that the image of a BMO function under one of these operators is either equal to infinity almost everywhere or is in BMO.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-099-04/S0002-9939-1987-0877035-1/S0002-9939-1987-0877035-1.pdf

Reference7 articles.

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3. Rearrangement inequalities for Littlewood-Paley operators;Kurtz, Douglas S.;Math. Nachr.,1987

4. Les opérateurs de Calderón-Zygmund vectoriels;Rubio de Francia, José Luis;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1983

5. X. Shi and A. Torchinsky (oral communication).

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