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Trace Class Norm Inequalities for Wavelet Multipliers
Author(s) -
Wong M. W.,
Zhang Zhaohui
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s002460930200139x
Subject(s) - mathematics , wavelet , trace class , trace (psycholinguistics) , mathematics subject classification , norm (philosophy) , class (philosophy) , multiplier (economics) , inequality , pure mathematics , algebra over a field , calculus (dental) , mathematical analysis , artificial intelligence , epistemology , computer science , linguistics , philosophy , hilbert space , medicine , dentistry , economics , macroeconomics
In this paper, the authors give sharp estimates on the norms in the trace class of wavelet multipliers P σ,ϕ : L 2 (R n )→ L 2 (R n ) in terms of the symbols σ and the admissible wavelets ϕ. 2000 Mathematics Subject Classification 47G10.