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 Spaces, Hardy Type Inequalities etc. The book will be useful to postgraduates and the researchers working or intend to work in areas of Function Spaces.

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 Inequality / On Asymptotic Behaviour of the Approximation Numbers and Estimates of Schatten-von Neumann / Norms of the Hardy-type Integral Operators / Expansions in Series of Legendre Functions / Overdetermined Weighted Hardy Inequalities on Semiaxis / Handel 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 / Index.

Postgraduate students and Researchers