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, 1963-, Yang, Dongyong, 19..-...., mathématicien (Autor), Hu, Guoen, 19..- (Autor)
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Cham : Springer International Publishing 2013.
Cham : Springer Nature
Colección:Lecture Notes in Mathematics 2084
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Edition sous un autre format:• The Hardy Space H1 with Non-doubling Measures and Their Applications, Texte imprimé, 9783319008264
• The Hardy Space H1 with Non-doubling Measures and Their Applications, Texte imprimé, 9783319008240
Descripción
Sumario: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.
Notas:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783319008257
ISSN:1617-9692
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