Function Spaces and Inequalities

Beschreibung

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.

Features original works and survey articles on topics of function spaces and inequalities

Discusses recent developments in the theory of spaces with variable exponents

Includes papers on further investigations concern Sobolev-type embeddings, discrete inequalities and harmonic analysis

Autor*in

Pankaj Jain

Themen in »Function Spaces and Inequalities«

function spaces Morrey spaces Lebesgue spaces Lorentz sequence spaces hardy type inequalities integral operators Sobolev embeddings harmonic analysis

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