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1982•Czechoslovak Mathematical JournalOpen access

Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type

Bernd Stöckert

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Abstract

This paper deals with the interpolation of anisotropic spaces Bp^ and Fp^ of Besov-Hardy-Sobolev type, which are introduced in [11], [9] (cf.also [12]).These spaces generahze the classical anisotropic Besov spaces, Sobolev spaces and Hardy spaces (cf.[2]), as we shall show in Section 3. The fundamental ideas are the same as those used when approaching the interpolation of the corresponding isotropic spaces of Besov-Hardy-Sobolev type, which are due to J. Peetre (cf.[5]) and H. Triebel (cf.[11], [13]).

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What this paper is about

This paper deals with the interpolation of anisotropic spaces Bp^ and Fp^ of Besov-Hardy-Sobolev type, which are introduced in [11], [9] (cf.also [12]).These spaces generahze the classical anisotropic Besov spaces, Sobolev spaces and Hardy spaces (cf.[2]), as we shall show in Section 3. The fundamental ideas are the same as those used when approaching the interpolation of the corresponding isotropic spaces of Besov-Hardy-Sobolev type, which are due to J. Peetre (cf.[5]) and H. Triebel (cf.[11], [13]).

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Available abstract

This paper deals with the interpolation of anisotropic spaces Bp^ and Fp^ of Besov-Hardy-Sobolev type, which are introduced in [11], [9] (cf.also [12]).These spaces generahze the classical anisotropic Besov spaces, Sobolev spaces and Hardy spaces (cf.[2]), as we shall show in Section 3. The fundamental ideas are the same as those used when approaching the interpolation of the corresponding isotropic spaces of Besov-Hardy-Sobolev type, which are due to J. Peetre (cf.[5]) and H. Triebel (cf.[11], [13]).

Key concepts: Mathematics, Sobolev space, Interpolation space, Hardy space, Besov space, Interpolation (computer graphics), Type (biology), Mathematical analysis

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