Weighted Function Spaces and Traces on Fractals

Theory and Examples

Iwona Piotrowska-Kurczewski (Autor)

Buch | Softcover

128 Seiten

2017
AV Akademikerverlag
978-3-639-85422-0 (ISBN)

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It is a central topic in the general theory of function spaces during the last decades to investigate the connection between fractal geometry and function spaces, Fourier analysis and spectral theory of differential operators. We follow a basic idea to study the interplay between fractal geometry and weighted function spaces of Besov and Triebel-Lizorkin type. Throughout what follows, we shall only work with weight functions that belong to some Muckenhoupt class.

Iwona Piotrowska-Kurczewski, Dr. rer. nat.: Diploma degree obtained from the Adam Mickiewicz University in Poznan, Poland. PhD title received from the University of Jena, while working in the Junior Research Group "Fractal Analysis". Works in Center for Industrial Mathematic since 2007.

Erscheinungsdatum	03.03.2017
Sprache	englisch
Maße	150 x 220 mm
Gewicht	187 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	atomic decomposition • d-sets • Muckenhoupt weights • Traces on fractals • weighted function spaces
ISBN-10	3-639-85422-5 / 3639854225
ISBN-13	978-3-639-85422-0 / 9783639854220
Zustand	Neuware