Bourgain–Brezis–Mironescu–Maz’ya–Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation

Author:

Domínguez OscarORCID,Milman Mario

Funder

LABEX MILYON

Ministerio Español de Ciencia e Innovacion

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference35 articles.

1. Bennett, C., Sharpley, R.: Interpolation of Operators. Academic Press, Boston (1988)

2. Bergh, J., Löfström, J.: Interpolation Spaces. An Introduction. Springer, Berlin (1976)

3. Bourgain, J., Brezis, H., Mironescu, P.: Another look at Sobolev spaces. In: Optimal Control and Partial Differential Equations, pp. 439–455. IOS, Amsterdam (2001)

4. Bourgain, J., Brezis, H., Mironescu, P.: Limiting embedding theorems for $$W^{s, p}$$ when $$s\uparrow 1$$ and applications. J. Anal. Math. 87, 77–101 (2002)

5. Brazke, D., Schikorra, A., Yung, P.-L.: Bourgain–Brezis–Mironescu convergence via Triebel–Lizorkin spaces. https://arxiv.org/abs/2109.04159

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