Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains-Reference-Cited by-同舟云学术

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Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains

Published:2024-09 Issue: Volume: Page:110672
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Gallegos Josep M.^ORCID,Mourgoglou Mihalis,Tolsa Xavier

Funder

Basque Government

Generalidad de Cataluña Agencia de Gestión de Ayudas Universitarias y de Investigación

Ministerio de Economía y Competitividad

National Plan for Scientific and Technical Research and Innovation

Basque Foundation for Science

European Research Council

Publisher

Elsevier BV

Reference43 articles.

1. Azzam, J. (2021). Poincaré inequalities and uniform rectifiability. Rev. Mat. Iberoam., 37(6), 2161-2190.

2. Azzam, J., Garnett, J., Mourgoglou, M., & Tolsa, X. (2022). Uniform Rectifiability, Elliptic Measure, Square Functions, and ε-Approximability Via an ACF Monotonicity Formula. Int. Math. Res. Not. (IMRN).

3. Azzam, J., Hofmann, S., Martell, J. M., Mourgoglou, M., & Tolsa, X. (2020). Harmonic measure and quantitative connectivity: geometric characterization of the Lp-solvability of the Dirichlet problem. Invent. Math., 222(3), 881-993.

4. Badr, N., & Bernicot, F. (2010). Abstract Hardy-Sobolev spaces and interpolation. J. Funct. Anal., 259(5), 1169-1208.

5. Badr, N., & Dafni, G. (2010). An atomic decomposition of the Hajłasz Sobolev space M1 on manifolds. J. Funct. Anal., 259(6), 1380-1420.

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