2-microlocal spaces with variable integrability

Helena Daniela Ferreira Gonçalves (Autor)

Buch | Softcover

126 Seiten

2018
Universitätsverlag Chemnitz
978-3-96100-049-4 (ISBN)

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In this work we study several important properties of the 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability. Due to the richness of the weight sequence used to measure smoothness, this scale of function spaces incorporates a wide range of function spaces, of which we mention the spaces with variable smoothness.Within the existing characterizations of these spaces, the characterization via smooth atoms is undoubtedly one of the most used when it comes to obtain new results in varied directions. In this work we make use of such characterization to prove several embedding results, such as Sobolev, Franke and Jawerth embeddings, and also to study traces on hyperplanes.Despite the considerable benefits of resorting on the smooth atomic decomposition, there are still some limitations when one tries to use it in order to prove some specific results, such as pointwise multipliers and diffeomorphisms assertions. The non-smooth atomic characterization proved in this work overcome these problems, due to the weaker conditions of the (non-smooth) atoms. Moreover, it also allows us to give an intrinsic characterization of the 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability on the class of regular domains, in which connected bounded Lipschitz domains are included.

Erscheinungsdatum	07.05.2018
Verlagsort	Chemnitz
Sprache	englisch
Maße	148 x 210 mm
Gewicht	172 g
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	2-Mikrolokale Räume • Atom • Besov Räume • Diffeomorphismen • Einbettungen • Gebiete • punktweise Multiplikatoren • Spuroperator • Triebel-Lizorkin Räume • Variable Glattheit • variable Integrabilität
ISBN-10	3-96100-049-2 / 3961000492
ISBN-13	978-3-96100-049-4 / 9783961000494
Zustand	Neuware