| Description |
1 online resource (x, 222 pages) : illustrations |
| Series |
Chapman & Hall/CRC research notes in mathematics series ; 437 |
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Chapman & Hall/CRC research notes in mathematics series ; 437.
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| Contents |
Preface ; DEFINITION, BASIC PROPERTIES, AND FIRST EXAMPLES ; Introduction ; Preliminaries, Classical Function Spaces ; Non-increasing rearrangements Lebesgue and Lorentz spaces; Spaces of continuous functions; Sobolev spaces; Sobolev's embedding theorem; The Growth Envelope Function E G ; Definition and basic properties; Examples: Lorentz spaces; Connection with the fundamental function; Further examples: Sobolev spaces, weighted Lp -spaces; Growth Envelopes EG ; Definition; Examples: Lorentz spaces, Sobolev spaces; The Continuity Envelope Function E C ; Definition and basic properties; Some lift property; Examples: Lipschitz spaces, Sobolev spaces; Continuity Envelopes EC ; Definition; Examples: Lipschitz spaces, Sobolev spaces; RESULTS IN FUNCTION SPACES AND APPLICATIONS ; Function Spaces and Embeddings ; Spaces of type Bs p, q, Fs p, q ; Embeddings; Growth Envelopes EG ; Growth envelopes in the sub-critical case; Growth envelopes in sub-critical borderline cases; Growth envelopes in the critical case; Continuity Envelopes EC ; Continuity envelopes in the super-critical case; Continuity envelopes in the super-critical borderline case; Continuity envelopes in the critical case; Envelope Functions E G and E C Revisited ; Spaces on R+ ; Enveloping functions; Global versus local assertions; Applications ; Hardy inequalities and limiting embeddings; Envelopes and lifts; Compact embeddings; References ; Symbols ; Index ; List of Figures |
| Summary |
Presenting the detailed account of the theory of growth and continuity envelopes in function spaces, this book introduces the concept of classical spaces before moving on to examine more general spaces. It includes background material and numerous concrete examples, and is useful for graduate students and researchers in functional analysis |
| Bibliography |
Includes bibliographical references (pages 211-222) |
| Notes |
Print version record |
| Subject |
Function spaces.
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Envelopes (Geometry)
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Embeddings (Mathematics)
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MATHEMATICS -- Transformations.
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Embeddings (Mathematics)
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Envelopes (Geometry)
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Function spaces
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Funktionalanalysis
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Einhüllende Algebra
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Einbettung Mathematik
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Einbettung.
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| Form |
Electronic book
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| ISBN |
9781584887515 |
|
1584887516 |
|
1584887508 |
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9781584887508 |
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