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Fourier embeddings and Mihlin‐type multiplier theorems
Author(s) -
Hytönen Tuomas
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310203
Subject(s) - mathematics , multiplier (economics) , embedding , pure mathematics , convolution (computer science) , fourier transform , lebesgue integration , type (biology) , function space , scalar (mathematics) , mathematical analysis , ecology , geometry , artificial intelligence , machine learning , biology , computer science , artificial neural network , economics , macroeconomics
Recent theorems on singular convolution operators are combined with new Fourier embedding results to prove strong multiplier theorems on various function spaces (including Besov, Lebesgue–Bôchner, and Hardy). All the results apply to operator‐valued multipliers acting on vector‐valued functions, but some of them are new even in the scalar case. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)