Function Classes on the Unit Disc : : An Introduction / / Miroslav Pavlović.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
• VerfasserIn: Pavlović, Miroslav,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2019]; ©2019
• Year of Publication: 2019
• Edition: 2nd rev. and ext. ed.
• Language: English
• Series: De Gruyter Studies in Mathematics , 52
• Physical Description: 1 online resource (XVI, 558 p.)
• Other title: Frontmatter --; Preface --; Preface to the first edition --; Contents --; 1. The Poisson integral and Hardy spaces --; 2. Subharmonic functions and Hardy spaces --; 3. Subharmonic behavior and Bergman-type spaces --; 4. Mixed-norm spaces with nonstandard weights --; 5. Taylor coefficients and maximal functions --; 6. Besov spaces --; 7. The dual of H1, and some related spaces --; 8. Lipschitz spaces of first order --; 9. Lipschitz spaces of higher order --; 10. Littlewood–Paley theory --; 11. One-to-one mappings --; 12. Multipliers on Hp, BMOA, and Besov spaces --; 13. Decompositions of spaces with subnormal weights and applications --; A. Quasi-Banach spaces --; B. Bounded vector-valued analytic functions --; C. Lebesgue spaces: Interpolation and maximal functions --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110630855; 9783110762464; 9783110719567; 9783110494938; 9783110616859; 9783110610765; 9783110664232; 9783110610406; 9783110606362
• ISSN: 0179-0986
• DOI: 10.1515/9783110630855
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Miroslav Pavlović.

This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman–Stein theorem on subharmonic behavior or the theorem on conjugate functions in Bergman spaces) and a full discussion on g-functions.