Traces and extensions of certain weighted Sobolev spaces on $$\mathbb {R}^n$$ and Besov functions on Ahlfors regular compact subsets of $$\mathbb {R}^n$$

Author:

Lindquist Jeff,Shanmugalingam NageswariORCID

Funder

The National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference24 articles.

1. Ahlfors, L.V.: Quasiconformal reflections. Acta Math. 109, 291–301 (1963)

2. Barton, A.: Trace and extension theorems relating Besov spaces to weighted averaged Sobolev spaces. Math. Inequal. Appl. 21(3), 817–870 (2018)

3. Besov, O.V.: On some families of functional spaces. Imbedding and extension theorems. (Russian) Dokl. Akad. Nauk SSSR 126, 1163–1165 (1959)

4. Björn, A., Björn, J., Shanmugalingam, N.: Extension and trace results for doubling metric measure spaces and their hyperbolic fillings. in preparation

5. Björn, J., Shanmugalingam, N.: Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces. J. Math. Anal. Appl. 332(1), 190–208 (2007)

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1. Borderline Case of Traces and Extensions for Weighted Sobolev Spaces;Acta Mathematica Sinica, English Series;2023-09

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