Theory of H[superscript p] spaces

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  • Theory of H[superscript p] spaces Book Detail

  • Author :
  • Release Date : 1970-07-31
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 277
  • ISBN 13 : 0080873510
  • File Size : 87,87 MB
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Theory of H[superscript p] spaces by PDF Summary

Book Description: The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F. and M. Riesz, V. Smirnov, and G. Szego. Most of this early work is concerned with the properties of individual functions of class HP, and is classical in spirit. In recent years, the development of functional analysis has stimulated new interest in the HP classes as linear spaces. This point of viewhas suggested a variety of natural problems and has provided new methods of attack, leading to important advances in the theory. This book is an account of both aspects of the subject, the classical and the modern. It is intended to provide a convenient source for the older parts of the theory (the work of Hardy and Littlewood, for example), as well as to give a self-contained exposition of more recent developments such as Beurling's theorem on invariant subspaces, the Macintyre-RogosinskiShapiro-Havinson theory of extremal problems, interpolation theory, the dual space structure of HP with p

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Theory of H[superscript p] spaces

Theory of H[superscript p] spaces

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The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F.

New Classes of Lp-Spaces

New Classes of Lp-Spaces

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The purpose of this text is to present new examples of LP-spaces for 1 ≤ P ≤ ∞. This work has three reasons of interest. First, of course, it provides new

New Classes of Lp-Spaces

New Classes of Lp-Spaces

File Size : 67,67 MB
Total View : 5733 Views
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The purpose of this text is to present new examples of LP-spaces for 1 ≤ P ≤ ∞. This work has three reasons of interest. First, of course, it provides new