Conjugate Hardy’s inequalities with decreasing weights-Reference-Cited by-同舟云学术

Conjugate Hardy’s inequalities with decreasing weights

Published:1998 Issue:8 Volume:126 Page:2341-2344
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cerdà Joan,Martín Joaquim

Abstract

We prove that for a decreasing weight ω \omega on R + \mathbf {R}^+ , the conjugate Hardy transform is bounded on L p ( ω ) L_p(\omega ) ( 1 ≤ p > ∞ 1\leq p>\infty ) if and only if it is bounded on the cone of all decreasing functions of L p ( ω ) L_p(\omega ) . This property does not depend on p p .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-08/S0002-9939-98-04273-7/S0002-9939-98-04273-7.pdf

Reference3 articles.

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2. Hardy’s inequality with weights;Muckenhoupt, Benjamin;Studia Math.,1972

3. Some classical operators on Lorentz space;Neugebauer, C. J.;Forum Math.,1992

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