The Hardy space H1 with non-doubling measures and their applications

The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of...

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Detalles Bibliográficos
Autores principales: Yang, Dachun, Yang, Dongyong, Hu, Guoen
Lenguaje:eng
Publicado: Springer 2013
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-00825-7
http://cds.cern.ch/record/1690660
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author Yang, Dachun
Yang, Dongyong
Hu, Guoen
author_facet Yang, Dachun
Yang, Dongyong
Hu, Guoen
author_sort Yang, Dachun
collection CERN
description The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems. The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2013
publisher Springer
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spelling cern-16906602021-04-21T21:14:13Zdoi:10.1007/978-3-319-00825-7http://cds.cern.ch/record/1690660engYang, DachunYang, DongyongHu, GuoenThe Hardy space H1 with non-doubling measures and their applicationsMathematical Physics and MathematicsThe present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems. The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.Springeroai:cds.cern.ch:16906602013
spellingShingle Mathematical Physics and Mathematics
Yang, Dachun
Yang, Dongyong
Hu, Guoen
The Hardy space H1 with non-doubling measures and their applications
title The Hardy space H1 with non-doubling measures and their applications
title_full The Hardy space H1 with non-doubling measures and their applications
title_fullStr The Hardy space H1 with non-doubling measures and their applications
title_full_unstemmed The Hardy space H1 with non-doubling measures and their applications
title_short The Hardy space H1 with non-doubling measures and their applications
title_sort hardy space h1 with non-doubling measures and their applications
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-00825-7
http://cds.cern.ch/record/1690660
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AT yangdachun hardyspaceh1withnondoublingmeasuresandtheirapplications
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