Restricting Riesz-logarithmic-Besov potentials

This paper studies the restriction properties of the Riesz-logarithmic-Besov potential. Moreover, applications to the regularity of the solutions to the fractional Laplace equation with measure data are given.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 493; no. 2; p. 124572
Main Authors Liu, Liguang, Yue, Chengjun, Zhang, Lunchuan
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.01.2021
Subjects
Campanato space
Logarithmic-Besov space
Morrey space
Restriction principle
Riesz potential
Logarithmic-Besov space
Campanato space
Restriction principle
Riesz potential
Morrey space
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Summary:This paper studies the restriction properties of the Riesz-logarithmic-Besov potential. Moreover, applications to the regularity of the solutions to the fractional Laplace equation with measure data are given.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124572