Good-λ inequalities for wavelets of compact support

Sarah V. Cook

Colloquium Mathematicae (2004)

  • Volume: 99, Issue: 1, page 7-18
  • ISSN: 0010-1354

Abstract

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For a wavelet ψ of compact support, we define a square function S w and a maximal function NΛ. We then obtain the L p equivalence of these functions for 0 < p < ∞. We show this equivalence by using good-λ inequalities.

How to cite

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Sarah V. Cook. "Good-λ inequalities for wavelets of compact support." Colloquium Mathematicae 99.1 (2004): 7-18. <http://eudml.org/doc/285206>.

@article{SarahV2004,
abstract = {For a wavelet ψ of compact support, we define a square function $S_\{w\}$ and a maximal function NΛ. We then obtain the $L_\{p\}$ equivalence of these functions for 0 < p < ∞. We show this equivalence by using good-λ inequalities.},
author = {Sarah V. Cook},
journal = {Colloquium Mathematicae},
keywords = {wavelets; square function; relative distributional inequality; multiresolution analysis; nontangential maximal function},
language = {eng},
number = {1},
pages = {7-18},
title = {Good-λ inequalities for wavelets of compact support},
url = {http://eudml.org/doc/285206},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Sarah V. Cook
TI - Good-λ inequalities for wavelets of compact support
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 1
SP - 7
EP - 18
AB - For a wavelet ψ of compact support, we define a square function $S_{w}$ and a maximal function NΛ. We then obtain the $L_{p}$ equivalence of these functions for 0 < p < ∞. We show this equivalence by using good-λ inequalities.
LA - eng
KW - wavelets; square function; relative distributional inequality; multiresolution analysis; nontangential maximal function
UR - http://eudml.org/doc/285206
ER -

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