Function Spaces and Applications - Hardcover

Edmunds, D.E.

Hardcover

ISBN 10: 1842650025 ISBN 13: 9781842650028

Publisher: Alpha Science, 2000

Synopsis

Functional analysis is a powerful tool in mathematical problems arising from day-to-day life. The concepts of generalized functions (distributions) have been used to obtain weak solutions of partial differential equations or boundary value problems where there might not be any solution in the classical sense. This gave rise to a study of various function spaces.

This book consists of original researchers (a few survey articles) by eminent mathematicians projecting the current trends in areas of Function Spaces and Applications like Sobolev Space

Table of Contents

• Preface
• Limiting Behaviour of Solutions of a Sequence of Non-Homogeneous Boundary Value Problems
• Some Separation Criteria and Inequalities Associated with Linear Second Order Differential Operators
• Weak Type Estimates for Averaging Operators
• Norms of Interpolation Operators Controlled by the Dicesar Function
• On the Garcia-Falset Coefficient in Orlicz Sequence Spaces Equipped with the Orlicz Norm
• On Some Fundamental Properties of the Maximal Operator
• Nontangential Approach Regions on Groups
• Stability of Sobolev Spaces with Zero Boundary Values
• Imbeddings of Weighted Sobolev Spaces
• From Hardy to Carleman and General Mean - Type Inequalities
• One Dimensional Approximation of Eigenvalue Problems in Thin Rods
• Some Comments to the Hardy Inequalities
• On Asymptotic Behavior of the Approximation Numbers and Estimates of Schatten-Von Neumann Norms of the Hardy-Type Integral Operators
• Expansions in Series of Legendre Functions
• Over determined Weighted Hardy Inequalities on Semiaxis
• Hankel Convolution on Some Ultra Differentiable Function Spaces
• Embedding Theorems in Functional Analysis
• Four Questions Related to Hardy's Inequality
• Optimal Inequalities on Quasinormed Function Spaces

Edition details

• Publisher: Alpha Science
• Publication date: 2000
• Language: English
• ISBN 10: 1842650025
• ISBN 13: 9781842650028
• Binding: Hardcover
• Number of pages: 286