Traces and extensions of generalized smoothness Morrey spaces on domains

Moura S, Neves J, Schneider C (2019)


Publication Type: Journal article

Publication year: 2019

Journal

Book Volume: 181

Pages Range: 311-339

DOI: 10.1016/j.na.2019.01.003

Abstract

We study traces on the boundary of generalized smoothness Morrey spaces on C-k domains Omega. These spaces are equipped with three parameters s, p, q and a function parameter phi. Our results remain valid for the usual Besov-Morrey spaces N-u,p,q(s) (Omega), Triebel-Lizorkin-Morrey spaces E-u,p,q(s) (Omega), and Triebel-Lizorkin type spaces F-p,q(s,tau) (Omega), which are all included in our scales as special cases. Moreover, to complete our investigation, we also study traces of Besov-type spaces B-p,q(s,tau) (Omega), which are not covered by our approach and give some applications in terms of a priori estimates generalizing results from El Baraka (2005). (C) 2019 Elsevier Ltd. All rights reserved.

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APA:

Moura, S., Neves, J., & Schneider, C. (2019). Traces and extensions of generalized smoothness Morrey spaces on domains. Nonlinear Analysis - Theory Methods & Applications, 181, 311-339. https://dx.doi.org/10.1016/j.na.2019.01.003

MLA:

Moura, Susana, Julio Neves, and Cornelia Schneider. "Traces and extensions of generalized smoothness Morrey spaces on domains." Nonlinear Analysis - Theory Methods & Applications 181 (2019): 311-339.

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