A semi-discrete Littlewood-Paley inequality

J. M. Wilson. "A semi-discrete Littlewood-Paley inequality." Studia Mathematica 153.3 (2002): 207-233. <http://eudml.org/doc/284962>.

@article{J2002,
abstract = {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.},
author = {J. M. Wilson},
journal = {Studia Mathematica},
keywords = {Littlewood-Paley inequality; weighted norm inequalities; Bergman spaces},
language = {eng},
number = {3},
pages = {207-233},
title = {A semi-discrete Littlewood-Paley inequality},
url = {http://eudml.org/doc/284962},
volume = {153},
year = {2002},
}

TY - JOUR
AU - J. M. Wilson
TI - A semi-discrete Littlewood-Paley inequality
JO - Studia Mathematica
PY - 2002
VL - 153
IS - 3
SP - 207
EP - 233
AB - 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.
LA - eng
KW - Littlewood-Paley inequality; weighted norm inequalities; Bergman spaces
UR - http://eudml.org/doc/284962
ER -