Abstract
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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We thank the anonymous referee for the valuable comments and suggestions.
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Supported by the General Direction of Higher Education and Training and by the General Directorate of Scientific Research and Technological Development, Algeria (Grant No. C00L03UN280120180007)
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Zeghad, Z., Drihem, D. Variable Besov-type Spaces. Acta. Math. Sin.-English Ser. 39, 553–583 (2023). https://doi.org/10.1007/s10114-022-1223-2
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DOI: https://doi.org/10.1007/s10114-022-1223-2