Embeddings of Decomposition Spaces

Embeddings of Decomposition Spaces PDF

Author: Felix Voigtlaender

Publisher: American Mathematical Society

Published: 2023-07-31

Total Pages: 268

ISBN-13: 1470459906

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View the abstract. https://www.ams.org/bookstore/pspdf/memo-287-1426-abstract.pdf

Morrey Spaces

Morrey Spaces PDF

Author: Yoshihiro Sawano

Publisher: CRC Press

Published: 2020-09-16

Total Pages: 316

ISBN-13: 1000064077

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Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding

Concentration Compactness

Concentration Compactness PDF

Author: Kyril Tintarev

Publisher: Imperial College Press

Published: 2007

Total Pages: 279

ISBN-13: 1860947972

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Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces. Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of domain and partitions of range, relative to transformation groups, in the proofs of energy inequalities and in the weak convergence lemmas.

The Disc Embedding Theorem

The Disc Embedding Theorem PDF

Author: Stefan Behrens

Publisher: Oxford University Press

Published: 2021

Total Pages: 492

ISBN-13: 0198841310

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The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem.

Functional Analysis, Harmonic Analysis, and Image Processing: A Collection of Papers in Honor of Björn Jawerth

Functional Analysis, Harmonic Analysis, and Image Processing: A Collection of Papers in Honor of Björn Jawerth PDF

Author: Michael Cwikel

Publisher: American Mathematical Soc.

Published: 2017-07-26

Total Pages: 411

ISBN-13: 1470428369

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This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways. Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool. This book should be of interest to advanced graduate students and professional researchers in the areas of functional analysis, harmonic analysis, image processing, and approximation theory. It combines articles presenting new research with insightful surveys written by foremost experts.