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Wavelet characterization of multiplier spaces
Author(s) -
Yang Q.X.,
Deng F.W.
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2638
Subject(s) - wavelet , mathematics , multiplier (economics) , characterization (materials science) , sobolev space , function space , pure mathematics , mathematical analysis , artificial intelligence , computer science , materials science , economics , macroeconomics , nanotechnology
We study the wavelet characterization of multiplier spaces between pair of Sobolev spaces. We develop techniques of special decompositions of function products and apply the delicate estimates of wavelet coefficients to get multiplier space characterization by Daubechies wavelets without using capacity. In addition, some multiplier spaces are proved to be trivial. Copyright © 2012 John Wiley & Sons, Ltd.