Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On the Littlewood-Paley theory for mixed norm spaces

Author: John A. Gosselin
Journal: Trans. Amer. Math. Soc. 256 (1979), 113-124
MSC: Primary 42C10
MathSciNet review: 546910
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An inequality of Littlewood-Paley type is proved for the mixed norm spaces $ {L_P}({l_r})$, $ 1 < p$, $ r < \infty $, on the interval $ [0,1]$. This result makes use of recent work by C. Fefferman and A. Cordoba on the boundedness of singular integrals on these spaces. As an application of this inequality, boundedness of the lacunary maximal partial sum operator for Walsh-Fourier series on $ {L_p}({l_r})$ is established. This result can be viewed as an extension of a similar result for the Hardy-Littlewood maximal function due to C. Fefferman and E. M. Stein.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 42C10

Retrieve articles in all journals with MSC: 42C10

Additional Information

PII: S 0002-9947(1979)0546910-X
Keywords: Mixed norm spaces, Littlewood-Paley function, Khinchine's inequality, Rademacher functions, Walsh-Fourier series, Hardy-Littlewood maximal function, lacunary maximal partial sum operator
Article copyright: © Copyright 1979 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia