Function Spaces In Analysis


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Function Spaces, 1


Function Spaces, 1

Author: Luboš Pick

language: en

Publisher: Walter de Gruyter

Release Date: 2012-12-19


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This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.

Function Spaces in Modern Analysis


Function Spaces in Modern Analysis

Author: Krzysztof Jarosz

language: en

Publisher: American Mathematical Soc.

Release Date: 2011-07-18


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This volume contains the proceedings of the Sixth Conference on Function Spaces, which was held from May 18-22, 2010, at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.

Analysis at Urbana: Analysis in function spaces


Analysis at Urbana: Analysis in function spaces

Author: Earl Berkson

language: en

Publisher: CUP Archive

Release Date: 1989


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Throughout the academic year 1986-7, the University of Illinois hosted a symposium on mathematical analysis attended by some of the leading figures in the field. This resulting book lays emphasis on the synthesis of modern and classical analysis.