Morrey Spaces: Introduction and Applications to Integral Operators and PDE's, Volume I

Morrey spaces are a fundamental concept in mathematical analysis, particularly in the study of partial differential equations (PDEs). They were introduced by Charles Morrey and have wide applications in various fields, such as harmonic analysis, potential theory, and mathematical physics. This book provides a comprehensive introduction to Morrey spaces, suitable for graduate students, advanced undergraduates, and researchers in PDEs and geometry. It covers key topics, including the definition and basic properties of Morrey spaces, the theory of singular integral operators, and applications to PDEs.

Format: Hardback
Length: 480 pages
Publication date: 17 September 2020
Publisher: Taylor & Francis Inc

Charles Morrey's groundbreaking work introduced Morrey spaces, a powerful tool for studying the local behavior of solutions to second-order elliptic partial differential equations (PDEs). These spaces have found widespread applications in various branches of mathematics, particularly in harmonic analysis, potential theory, partial differential equations, and mathematical physics.

In two comprehensive volumes, Morrey Spaces: Introduction and Applications to Integral Operators and PDEs, renowned experts in the field delve into the current state of art and provide insightful perspectives on the future developments of Morrey spaces. Volume I, in particular, focuses heavily on harmonic analysis, offering a comprehensive and accessible overview of the topic suitable for graduate students, master's course students, and researchers alike.

The authors of this work have designed it with the aim of making it accessible to a wide audience, including those with a basic understanding of integration theory. The text is replete with exercises and examples that aid in the readers' understanding and reinforce the key concepts presented.

Morrey spaces have played a pivotal role in advancing our understanding of PDEs and have opened up new avenues for research and exploration. By providing a comprehensive and rigorous treatment of this theory, Morrey Spaces: Introduction and Applications to Integral Operators and PDEs serves as a valuable resource for scholars and practitioners in the field.

Weight: 886g
Dimension: 162 x 241 x 33 (mm)
ISBN-13: 9781498765510