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Didactics of mathematics --- Functional analysis --- Differential equations --- Mathematical analysis --- Mathematics --- Computer science --- differentiaalvergelijkingen --- analyse (wiskunde) --- functies (wiskunde) --- didactiek --- informatica --- wiskunde

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The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.

Eigenvalues --- Embeddings (Mathematics) --- Trigonometrical functions --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Algebra --- Applied Mathematics --- Trigonometrical functions. --- Circular functions --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Approximation theory. --- Functional analysis. --- Differential equations. --- Special functions. --- Analysis. --- Approximations and Expansions. --- Functional Analysis. --- Special Functions. --- Ordinary Differential Equations. --- Mathematics Education. --- Study and teaching. --- Special functions --- Mathematical analysis --- 517.91 Differential equations --- Differential equations --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- 517.1 Mathematical analysis --- Math --- Science --- Transcendental functions --- Global analysis (Mathematics). --- Functions, special. --- Differential Equations. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematics—Study and teaching .

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The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.

Didactics of mathematics --- Functional analysis --- Differential equations --- Mathematical analysis --- Mathematics --- Computer science --- differentiaalvergelijkingen --- analyse (wiskunde) --- functies (wiskunde) --- didactiek --- informatica --- wiskunde

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This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory. In particular, it covers current work on measures of non-compactness and real interpolation, sharp Hardy-Littlewood-Sobolev inequalites, the HELP inequality, error estimates and spectral theory of elliptic operators, pseudo differential operators with discontinuous symbols, variable exponent spaces and entropy numbers. These papers contribute to areas of analysis which have been and continue to be heavily influenced by the leading British analysts David Edmunds and Des Evans. This book marks their respective 80th and 70th birthdays.

Differential equations. --- Function spaces. --- Operator theory. --- Spectral theory (Mathematics) --- Function spaces --- Inequalities (Mathematics) --- Differential equations --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Calculus --- Applied Physics --- 517.91 Differential equations --- Spaces, Function --- Mathematics. --- Operator Theory. --- Functional analysis

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• Reference Manager
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This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory. In particular, it covers current work on measures of non-compactness and real interpolation, sharp Hardy-Littlewood-Sobolev inequalites, the HELP inequality, error estimates and spectral theory of elliptic operators, pseudo differential operators with discontinuous symbols, variable exponent spaces and entropy numbers. These papers contribute to areas of analysis which have been and continue to be heavily influenced by the leading British analysts David Edmunds and Des Evans. This book marks their respective 80th and 70th birthdays.

Operator theory --- analyse (wiskunde)