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" The backward shift on the Hardy space / "
Joseph A. Cima, William T. Ross.
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BL
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| Record Number
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637128
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dltt
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| Main Entry
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Cima, Joseph A.,1933-
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| Title & Author
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The backward shift on the Hardy space /\ Joseph A. Cima, William T. Ross.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2000.
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| Series Statement
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Mathematical surveys and monographs ;; v. 79
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| Page. NO
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xi, 199 p. ;; 27 cm.
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| ISBN
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0821820834 (hc : alk. paper)
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: 9780821820834 (hc : alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 191-194) and index.
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| Contents
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Classical boundary value results -- Limits -- Pseudocontinuations -- The Hardy space of the disk -- H[superscript p] and boundary values -- Fourier analysis and H[superscript p] theory -- The Cauchy transform -- Duality -- The Nevanlinna class -- The Hardy spaces of the upper-half plane -- Motivation -- Basic definitions -- Poisson and conjugate Poisson integrals -- Maximal functions -- The Hilbert transform -- Some examples -- The harmonic Hardy space -- Distributions -- The atomic decomposition -- Distributions and H[superscript p] -- The space H[superscript p] (C\R) -- The backward shift on H[superscript p] for p [set membership] (1, [infinity]) -- The case p ] 1 -- The first and most straightforward proof -- The second proof - using Fatou's jump theorem -- Application: Bergman spaces -- Application: spectral properties -- The third proof - using the Nevanlinna theory -- Application: VMOA, BMOA, and L[superscript 1] [square root]H[superscript 1 subscript 0] -- The case p = 1 -- Cyclic vectors -- Duality -- The commutant -- Compactness of the inclusion operator -- The backward shift on H[superscript p] for p [set membership] (0, 1) -- The parameters -- A reduction -- Rational approximation -- Spectral properties -- Cyclic vectors -- Duality -- The commutant.
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| Subject
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Hardy spaces.
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| LC Classification
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QA331.C53 2000
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| Added Entry
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Ross, William T.,1964-
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