Morrey Spaces : Introduction and Applications to Integral Operators and PDE's, Volume I (Chapman & Hall/crc Monographs and Research Notes in Mathematics)

Sawano, Yoshihiro

Chapman & Hall/CRC（2020/09発売）

• 製本 Hardcover:ハードカバー版／ページ数 480 p.
• 言語 ENG
• 商品コード 9781498765510
• DDC分類 515.732

Full Description

Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics.

Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDEs discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume I focused mainly on harmonic analysis.

Features

Provides a 'from-scratch' overview of the topic readable by anyone with an understanding of integration theory
Suitable for graduate students, masters course students, and researchers in PDE's or Geometry
Replete with exercises and examples to aid the reader's understanding

The Open Access version of this book, available at http://www.taylorfrancis.com, has been made available under a Creative Commons [Attribution-Non Commercial-No Derivatives (CC BY-NC-ND)] 4.0 license.

Contents

1. Banach function lattices.  2. Fundamental facts in functional analysis.  3. Polynomials and harmonic functions.  4. Various operators in Lebesgue spaces.  5. BMO spaces and Morrey-Campanato spaces.  6. General metric measure spaces.  7. Weighted Lebesgue spaces.  8. Approximations in Morrey spaces.  9. Predual of Morrey spaces.  10. Linear and sublinear operators in Morrey spaces.  Bibliography.  Index.