Molecular and Norming Families for Besov Spaces1

Kun-chuan Wang

General Education Center

Tzu Chi College of Technology







Abstract

In this paper, we use the -transform and matrix operator theory to release the cancellation condition of norming and molecular families defined by M. Frazier and B. Jawerth: Application of and wavelet transform to theory of functions, in Wavelets and their Applications, edited by Ruskai.



Mathematics Subject Classification: Primary 42B28



Keywords and Phases: almost diagonality, Besov space, molecular family, norming family, -transform.
　



Besov空間上的分子族與範族


王昆湶

慈濟技術學院通識教育中心





摘　要

在此論文中，作者利用 -轉換及矩陣算子理論來降低由M. Frazier與B. Jawerth[FJ2]定義的分子族與範族上的消失矩條件。





關鍵字與詞：幾乎正交性、Besov空間、分子族、範族、 -轉換。