Fourier Multipliers between Weighted Anisotropic Function Spaces. Part I: Besov Spaces | Zendy

P. Dintelmann | Zendy

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Fourier Multipliers between Weighted Anisotropic Function Spaces. Part I: Besov Spaces

Author(s) -

P. Dintelmann

Publication year - 1996

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/717

Subject(s) - fourier transform , function (biology) , function space , besov space , mathematics , anisotropy , fourier analysis , mathematical analysis , interpolation space , pure mathematics , physics , functional analysis , optics , biochemistry , chemistry , evolutionary biology , gene , biology

We determine certain classes M(X ,q0 (wo), Y 11 (w1 )) of Fourier multipliers between weighted anisotropic Besov and Triebel spaces X, ,0 (wa) and 1' 11 ,qj (wi ) where p0 < 1 and w0 , w1 are weight functions of polynomial growth. To this end we refine a method based on discrete characterizations of function spaces which was introduced in Part I of the paper. Thus widely generalized versions of known results of Bui, Johnson and others are obtained in a unified way.

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