We consider Campanato spaces with exponents, on domains of class (0,)in the N-dimensional Euclidean space endowed with a natural anisotropic metricdepending on. We discuss several results including the appropriate Campanato's embedding theorem and we prove that functions of those spaces canbe extended to the whole of the Euclidean space without deterioration of the exponents , .
Extension and embedding theorems for Campanato spaces on C0,γ domains
Lamberti Pier Domenico
2024
Abstract
We consider Campanato spaces with exponents, on domains of class (0,)in the N-dimensional Euclidean space endowed with a natural anisotropic metricdepending on. We discuss several results including the appropriate Campanato's embedding theorem and we prove that functions of those spaces canbe extended to the whole of the Euclidean space without deterioration of the exponents , .
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