Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volumes I & II (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

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 PDE's discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with focus on harmonic analysis in volume I and generalizations and interpolation of Morrey spaces in volume II. FeaturesProvides a 'from-scratch' overview of the topic readable by anyone with an understanding of integration theorySuitable for graduate students, masters course students, and researchers in PDE's or GeometryReplete with exercises and examples to aid the reader's understanding