Morrey Spaces

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 m...

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Autors principals: Sawano, Yoshihiro, Di Fazio, Giuseppe, Hakim, Denny Ivanal
Format: Online
Idioma:anglès
Publicat: Taylor & Francis 2025
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Accés en línia:ONIX_20250324_9781000064094_4
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author Sawano, Yoshihiro
Di Fazio, Giuseppe
Hakim, Denny Ivanal
author_browse Di Fazio, Giuseppe
Hakim, Denny Ivanal
Sawano, Yoshihiro
author_facet Sawano, Yoshihiro
Di Fazio, Giuseppe
Hakim, Denny Ivanal
author_sort Sawano, Yoshihiro
collection Directory of Open Access Books
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 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
format Online
id doab-20.500.12854ir-157810
institution Directory of Open Access Books
language eng
publishDate 2025
publishDateRange 2025
publishDateSort 2025
publisher Taylor & Francis
publisherStr Taylor & Francis
record_format ojs
spelling doab-20.500.12854ir-1578102025-06-24T07:05:03Z Morrey Spaces Sawano, Yoshihiro Di Fazio, Giuseppe Hakim, Denny Ivanal Finite Dimensional Normed Space Finite Dimensional Linear Space second order elliptic partial differential equations Harmonic Polynomials harmonic analysis Spherical Harmonic Morrey Spaces Riesz Representation Theorem partial differential equations potential theory Spherical Harmonic Functions Hilbert Space Polynomial Space Harmonic Functions Stokes Theorem Complete Orthonormal System thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations 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. 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 2025-03-26T14:50:25Z 2025-03-26T14:50:25Z 2025-03-24T17:12:43Z 2020 book ONIX_20250324_9781000064094_4 https://library.oapen.org/handle/20.500.12657/100303 9781000064131 9781003042341 9781000064117 9780367459178 https://directory.doabooks.org/handle/20.500.12854/157810 eng Chapman & Hall/CRC Monographs and Research Notes in Mathematics open access image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/100303/1/9781000064094.pdf https://library.oapen.org/bitstream/20.500.12657/100303/1/9781000064094.pdf Taylor & Francis Chapman and Hall/CRC 10.1201/9781003042341 10.1201/9781003042341 fa69b019-f4ee-4979-8d42-c6b6c476b5f0 9781000064131 9781003042341 9781000064117 9780367459178 Chapman and Hall/CRC 928 open access
spellingShingle Finite Dimensional Normed Space
Finite Dimensional Linear Space
second order elliptic partial differential equations
Harmonic Polynomials
harmonic analysis
Spherical Harmonic
Morrey Spaces
Riesz Representation Theorem
partial differential equations
potential theory
Spherical Harmonic Functions
Hilbert Space
Polynomial Space
Harmonic Functions
Stokes Theorem
Complete Orthonormal System
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
Sawano, Yoshihiro
Di Fazio, Giuseppe
Hakim, Denny Ivanal
Morrey Spaces
title Morrey Spaces
title_full Morrey Spaces
title_fullStr Morrey Spaces
title_full_unstemmed Morrey Spaces
title_short Morrey Spaces
title_sort morrey spaces
topic Finite Dimensional Normed Space
Finite Dimensional Linear Space
second order elliptic partial differential equations
Harmonic Polynomials
harmonic analysis
Spherical Harmonic
Morrey Spaces
Riesz Representation Theorem
partial differential equations
potential theory
Spherical Harmonic Functions
Hilbert Space
Polynomial Space
Harmonic Functions
Stokes Theorem
Complete Orthonormal System
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
topic_facet Finite Dimensional Normed Space
Finite Dimensional Linear Space
second order elliptic partial differential equations
Harmonic Polynomials
harmonic analysis
Spherical Harmonic
Morrey Spaces
Riesz Representation Theorem
partial differential equations
potential theory
Spherical Harmonic Functions
Hilbert Space
Polynomial Space
Harmonic Functions
Stokes Theorem
Complete Orthonormal System
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
url ONIX_20250324_9781000064094_4
work_keys_str_mv AT sawanoyoshihiro morreyspaces
AT difaziogiuseppe morreyspaces
AT hakimdennyivanal morreyspaces