Spectral Theory, Function Spaces and Inequalities

New Techniques and Recent Trends

By: B. Malcolm Brown (Editor), Jan Lang (Editor), Ian G. Wood (Editor)

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Hardcover | 6 November 2011

At a Glance

Hardcover
276 Pages

Dimensions(cm)
23.5 x 15.88 x 2.54

Hardcover

$249.00

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Preface.- David Edmunds' Mathematical Work.- Desmond Evans' mathematical work.- Generalised Meissner Equations with an Eigenvalue-inducing Interface.- On the HELP Inequality for Hill Operators on Trees.- Measure of Non-compactness of Operators Interpolated by Limiting Real Methods.- A New, Rearrangement-free Proof of the Sharp Hardy-Littlewood-Sobolev Inequality.- Dichotomy in Muckenhoupt Weighted Function Space: A Fractal Example.- Lavrentiev's Theorem and Error Estimation in Elliptic Inverse Problems.- Two-weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Space.- Modular Eigenvalues of the Dirichlet p(.)-Laplacian and Their Stability.- Spectral Properties of Some Degenerate Elliptic Differential Operators.- Continuous and Compact Embeddings of Bessel-Potential-Type Spaces.- A Sequence of Zero Modes of Weyl-Dirac Operators and an Associated Sequence of Solvable Polynomials.- A Szeg Limit Theorem for Operators with Discontinuous Symbols in Higher Dimensions: Widom's Conjecture.- On a Supremum Operator.- Entropy Numbers of Quadratic Forms and Their Applications to Spectral Theory.

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