Besov Spaces for Isometric G-Actions

Schulz-Baldes H, Stoiber T (2022)


Publication Type: Book chapter / Article in edited volumes

Publication year: 2022

Publisher: Springer

Series: Mathematical Physics Studies

Book Volume: Part F1111

Pages Range: 23-40

DOI: 10.1007/978-3-031-12201-9_2

Abstract

Classical Sobolev, Besov and Triebel-Lizorkin spaces measure smoothness and integrability properties of functions on Rn simultaneously. From several points of view, the Besov spaces are particularly well-behaved [1] which is why they appear naturally in numerous contexts. Relevant for the present context is Peller’s characterization of traceclass properties of Hankel operators by Besov regularity of their symbols [2]. Furthermore, it is remarkable that in trace theorems there is no loss of Besov regularity (other than for Sobolev spaces) [1].

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How to cite

APA:

Schulz-Baldes, H., & Stoiber, T. (2022). Besov Spaces for Isometric G-Actions. In (pp. 23-40). Springer.

MLA:

Schulz-Baldes, Hermann, and Tom Stoiber. "Besov Spaces for Isometric G-Actions." Springer, 2022. 23-40.

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