The Hardy Space H1 with Non-doubling Measures and Their Applications

Released on by Dachun Yang
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  • The Hardy Space H1 with Non-doubling Measures and Their Applications Book Detail

  • Author : Dachun Yang
  • Release Date : 2014-01-04
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 665
  • ISBN 13 : 3319008250
  • File Size : 97,97 MB
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The Hardy Space H1 with Non-doubling Measures and Their Applications by Dachun Yang PDF Summary

Book 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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Nan Jing

Nan Jing

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This newly revised and updated edition of Paul U. UnschuldÕs original 1986 groundbreaking translation reflects the latest philological, methodological, and sin