Intersection Representations of Besov and Bessel Potential Spaces Involving Tensor Products

Hansen M, Sickel W, Yang D, Yuan W (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Proceedings of the Steklov Institute of Mathematics MAIK Nauka/Interperiodica (МАИК Наука/Интерпериодика)

Book Volume: 331

Pages Range: 236-269

Journal Issue: 1

DOI: 10.1134/S008154382560156X

Abstract

Abstract: We study how Besov spaces and Bessel potential spaces can be described as intersections of tensor products of the associated univariate spaces with. This generalizes a well-known result by Griebel and Oswald for in various directions.

Authors with CRIS profile

Markus Hansen Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

Involved external institutions

Friedrich-Schiller-Universität Jena DE Germany (DE) Beijing Normal University CN China (CN)

How to cite

APA:

Hansen, M., Sickel, W., Yang, D., & Yuan, W. (2025). Intersection Representations of Besov and Bessel Potential Spaces Involving Tensor Products. Proceedings of the Steklov Institute of Mathematics, 331(1), 236-269. https://doi.org/10.1134/S008154382560156X

MLA:

Hansen, Markus, et al. "Intersection Representations of Besov and Bessel Potential Spaces Involving Tensor Products." Proceedings of the Steklov Institute of Mathematics 331.1 (2025): 236-269.

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