Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent Trends

By B. Malcolm Brown

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3034807600
• ISBN13: 9783034807609
• Release Date: January 2014
• Publisher: Birkhauser
• Length: 264 Pages
• Weight: 0.86 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"