Sawano, Yoshihiro,
Morrey spaces : introduction and applications to integral operators and PDE's. Volumes I & II / Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. - 1 online resource (928 pages) - 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 dierential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial dierential 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. 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
9781003042341 1003042341 9781000064094 1000064093 9781000064131 1000064131 9781000064117 1000064115 9780429532023 0429532024 9780367459178 0367459175 9781498765527 1498765521 9780429546723 0429546726 9780429085925 0429085923
10.1201/9780429085925 doi
Banach spaces.
Harmonic analysis.
Differential equations, Partial--Numerical solutions.
Differential equations, Elliptic--Numerical solutions.
Integral operators.
MATHEMATICS / General
MATHEMATICS / Differential Equations
MATHEMATICS / Functional Analysis
QA322.2
515.732
Morrey spaces : introduction and applications to integral operators and PDE's. Volumes I & II / Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. - 1 online resource (928 pages) - 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 dierential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial dierential 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. 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
9781003042341 1003042341 9781000064094 1000064093 9781000064131 1000064131 9781000064117 1000064115 9780429532023 0429532024 9780367459178 0367459175 9781498765527 1498765521 9780429546723 0429546726 9780429085925 0429085923
10.1201/9780429085925 doi
Banach spaces.
Harmonic analysis.
Differential equations, Partial--Numerical solutions.
Differential equations, Elliptic--Numerical solutions.
Integral operators.
MATHEMATICS / General
MATHEMATICS / Differential Equations
MATHEMATICS / Functional Analysis
QA322.2
515.732