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Function Classes on the Unit Disc : an Introduction.

Pavlovic, Miroslav, (author.).
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Electronic resources

Subject: Functional analysis.
Function spaces.
Banach spaces.
Poisson integral formula.
Hardy spaces.
Lipschitz spaces.
Genre: Electronic books.

Record details

  • ISBN: 9783110281903
  • ISBN: 3110281902
  • Physical Description: 1 online resource (xiii, 449 pages).
  • Publisher: Berlin : De Gruyter, [2013]

Content descriptions

Bibliography, etc. Note: Includes bibliographical references and index.
Formatted Contents Note: Frontmatter -- Preface / Pavlović, Miroslav -- Contents -- 1. The Poisson integral and Hardy spaces -- 2. Subharmonic functions and Hardy spaces -- 3. Subharmonic behavior and mixed norm spaces -- 4. Taylor coefficients with applications -- 5. Besov spaces -- 6. The dual of H -- 7. Littlewood-Paley theory -- 8. Lipschitz spaces of first order -- 9. Lipschitz spaces of higher order -- 10. One-to-one mappings -- 11. Coefficients multipliers -- 12. Toward a theory of vector-valued spaces -- A. Quasi-Banach spaces -- B. Interpolation and maximal functions -- Bibliography -- Index.
Summary, etc.: Themonograph contains a study on various function classes, a number of new results and new or easy proofs of old result (Fefferman Stein theorem on subharmonic behavior, theorem on conjugate functions on Bergman spaces), which might be interesting for specialists, a full discussion on g-function (all p> 0), and a treatment of lacunary series with values in quasi-Banach spaces.
Source of Description Note: Print version record.
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