Sobolev Extension on Lp-quasidisks

Author:

Zhu ZhengORCID

Abstract

AbstractIn this paper, we study the Sobolev extension property of Lp-quasidisks which are the generalizations of classical quasidisks. After that, we also find some applications of this property.

Funder

Academy of Finland

University of Jyväskylä

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference37 articles.

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4. Burenkov, V.I.: Extension of functions preserving certain smoothness and compactness of embeddings for spaces of differentiable functions. Trudy Math. Inst. Steklov 248, 74–85 (2005). (Russian). English transl. in Proc. Steklov Inst. Math., American Mathematical Society, Providence, Rhode Island, 248, 2005

5. Evans, L.C., Gariepy, R.F.: Measure Theory and Fine Properties of Functions, Studies in Advanced Mathematics. CRC Press, Boca Raton (1992)

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