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Variable Exponent Hölder Spaces

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Book cover Integral Operators in Non-Standard Function Spaces

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 249))

Abstract

We already dealt in Volume 1 with Hölder spaces Hλ(·)(Ω) of variable order, in Sections 8.2.1 and 8.2.3 in the case of open sets \( \Omega \subseteq \mathbb{R}^n \), and in Section 8.3 in the general case of quasimetric measure spaces, where embeddings of variable exponent Sobolev spaces into Hölder spaces were established.

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Kokilashvili, V., Meskhi, A., Rafeiro, H., Samko, S. (2016). Variable Exponent Hölder Spaces. In: Integral Operators in Non-Standard Function Spaces. Operator Theory: Advances and Applications, vol 249. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-21018-6_1

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