A semi-discrete Littlewood-Paley inequality

• Autorzy: J. M. Wilson
• Języki publikacji: EN

Abstrakty

EN

We apply a decomposition lemma of Uchiyama and results of the author to obtain good weighted Littlewood-Paley estimates for linear sums of functions satisfying reasonable decay, smoothness, and cancellation conditions. The heart of our application is a combinatorial trick treating m-fold dilates of dyadic cubes. We use our estimates to obtain new weighted inequalities for Bergman-type spaces defined on upper half-spaces in one and two parameters, extending earlier work of R. L. Wheeden and the author.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 153
• Numer: 3
• Strony: 207-233

Daty

wydano

2002

Twórcy

autor

J. M. Wilson

• Department of Mathematics, University of Vermont, Burlington, VT 05405, U.S.A.

Identyfikatory

DOI

10.4064/sm153-3-1