Good-λ inequalities for wavelets of compact support

• Autorzy: Sarah V. Cook
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42C40: Wavelets and other special systems
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 1
• Strony: 7-18

Daty

wydano

2004

Twórcy

autor

Sarah V. Cook

• Department of Mathematics and Statistics, Washburn University, Topeka, KS 66621, U.S.A.

Identyfikatory

DOI

10.4064/cm99-1-2