Sharp Inequalities for the Haar System and Fourier Multipliers

A classical result of Paley and Marcinkiewicz asserts that the Haar system h=hkk≥0 on 0,1 forms an unconditional basis of Lp0,1 provided 1<p<∞. That is, if 𝒫J denotes the projection onto the subspace generated by hjj∈J (J is an arbitrary subset of ℕ), then 𝒫JLp0,1→Lp0,1≤βp for some universal c...

Full description

Saved in:
Bibliographic Details
Main Author: Adam Osȩkowski
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/646012
Tags: Add Tag
No Tags, Be the first to tag this record!