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This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.

Mathematics. --- Harmonic analysis. --- Functional analysis. --- Functions of complex variables. --- Integral transforms. --- Operational calculus. --- Several Complex Variables and Analytic Spaces. --- Functional Analysis. --- Abstract Harmonic Analysis. --- Integral Transforms, Operational Calculus. --- Functions of a Complex Variable. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Math --- Science --- Differential equations, partial. --- Integral Transforms. --- Complex variables --- Elliptic functions --- Functions of real variables --- Transform calculus --- Transformations (Mathematics) --- Partial differential equations --- Operational calculus --- Differential equations --- Electric circuits

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Function spaces --- Differential operators --- Nonlinear functional analysis --- Triebel, Hans --- Differential operators. --- Function spaces. --- Nonlinear functional analysis.