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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Huvudupphov: Sawano, Yoshihiro
Materialtyp: Online
Språk:engelska
Utgiven: Taylor & Francis 2025
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author Sawano, Yoshihiro
author_browse Sawano, Yoshihiro
author_facet Sawano, Yoshihiro
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 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
format Online
id doab-20.500.12854ir-157786
institution Directory of Open Access Books
language eng
publishDate 2025
publishDateRange 2025
publishDateSort 2025
publisher Taylor & Francis
publisherStr Taylor & Francis
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spelling doab-20.500.12854ir-1577862025-06-27T05:12:04Z Morrey Spaces Sawano, Yoshihiro Harmonic Polynomials Finite Dimensional Normed Space Integration theory Spherical Harmonic Harmonic analysis Riesz Representation Theorem Integral operators Morrey Spaces Harmonic functions Spherical Harmonic Functions Hilbert Space Finite Dimensional Linear Space Preliminary Facts Polynomial Space Stokes Theorem PDE Homogeneous Degree Homogeneous Polynomials 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 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 2025-03-26T11:22:26Z 2025-03-26T11:22:26Z 2025-03-24T17:14:10Z 2020 book ONIX_20250324_9781498765527_14 https://library.oapen.org/handle/20.500.12657/100318 9780429546723 9781498765510 9780429085925 9780429532023 https://directory.doabooks.org/handle/20.500.12854/157786 eng Chapman & Hall/CRC Monographs and Research Notes in Mathematics open access image/jpeg image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/100318/1/9781498765527.pdf https://library.oapen.org/bitstream/20.500.12657/100318/1/9781498765527.pdf https://library.oapen.org/bitstream/20.500.12657/100318/12/9781498765527.pdf Taylor & Francis Chapman and Hall/CRC 10.1201/9780429085925 10.1201/9780429085925 fa69b019-f4ee-4979-8d42-c6b6c476b5f0 9780429546723 9781498765510 9780429085925 9780429532023 Chapman and Hall/CRC 502 open access
spellingShingle Harmonic Polynomials
Finite Dimensional Normed Space
Integration theory
Spherical Harmonic
Harmonic analysis
Riesz Representation Theorem
Integral operators
Morrey Spaces
Harmonic functions
Spherical Harmonic Functions
Hilbert Space
Finite Dimensional Linear Space
Preliminary Facts
Polynomial Space
Stokes Theorem
PDE
Homogeneous Degree
Homogeneous Polynomials
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
Sawano, Yoshihiro
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 Harmonic Polynomials
Finite Dimensional Normed Space
Integration theory
Spherical Harmonic
Harmonic analysis
Riesz Representation Theorem
Integral operators
Morrey Spaces
Harmonic functions
Spherical Harmonic Functions
Hilbert Space
Finite Dimensional Linear Space
Preliminary Facts
Polynomial Space
Stokes Theorem
PDE
Homogeneous Degree
Homogeneous Polynomials
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
topic_facet Harmonic Polynomials
Finite Dimensional Normed Space
Integration theory
Spherical Harmonic
Harmonic analysis
Riesz Representation Theorem
Integral operators
Morrey Spaces
Harmonic functions
Spherical Harmonic Functions
Hilbert Space
Finite Dimensional Linear Space
Preliminary Facts
Polynomial Space
Stokes Theorem
PDE
Homogeneous Degree
Homogeneous Polynomials
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
url ONIX_20250324_9781498765527_14
work_keys_str_mv AT sawanoyoshihiro morreyspaces