| Variable Besov-type Spaces |
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| 作者姓名： | Zouheyr ZEGHAD Douadi DRIHEM |
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| 作者单位： | M’sila University, Department of Mathematics, Laboratory of Functional Analysis and Geometry of Spaces |
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| 摘 要： | In this paper we introduce Besov-type spaces with variable smoothness and integrability.We show that these spaces are characterized by the φ-transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces.Moreover the Sobolev embeddings for these function spaces are obtained.
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Variable Besov-type Spaces |
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| Zouheyr ZEGHAD,Douadi DRIHEM.Variable Besov-type Spaces[J].Acta Mathematica Sinica,2023,39(4):553-583. |
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| Authors: | Zeghad Zouheyr Drihem Douadi |
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| Institution: | 1.Department of Mathematics, Laboratory of Functional Analysis and Geometry of Spaces, M’sila University, P. O. Box 166, M’sila, 28000, Algeria
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| Abstract: | Acta Mathematica Sinica, English Series - In this paper we introduce Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the... |
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