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Weighted Besov spaces with variable exponents. (English) Zbl 1485.46043

Summary: In this paper, we introduce Besov spaces with variable exponents and variable Muckenhoupt weights. Then we give a approximation characterization, the lifting property, embeddings, the duality and interpolation of these spaces.

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
42B35 Function spaces arising in harmonic analysis
30H25 Besov spaces and \(Q_p\)-spaces
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