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On Fourier multipliers between Besov spaces with \(0<p_0\leq \text{min}\{1,p_1\}\) - MaRDI portal

On Fourier multipliers between Besov spaces with \(0<p_0\leq \text{min}\{1,p_1\}\) (Q1922104)

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scientific article; zbMATH DE number 926373
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English
On Fourier multipliers between Besov spaces with \(0<p_0\leq \text{min}\{1,p_1\}\)
scientific article; zbMATH DE number 926373

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    On Fourier multipliers between Besov spaces with \(0<p_0\leq \text{min}\{1,p_1\}\) (English)
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    25 January 1999
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    By means of the discrete characterization of these spaces similar to the \(\varphi\)-transform of Frazier and Jawerth, the author characterized the Fourier multipliers between the anisotropic inhomogeneous Besov spaces \(B^{s_0}_{p_0,q_0}\) and \(B^{s_1}_{p_1,q_1}\) with \(0<p_0\leq\min\{1,p_1\},\) \(0<p_1<\infty,\) \(s_0, s_1\in R\) and \(0<q_0, q_1\leq\infty.\)
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    Fourier multiplier
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    inhomogeneous Besov space
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    anisotropic space
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    discrete characterization
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