Screen LibraryFunction classes on the unit disc : an introduction /
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...
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| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin/Boston : |
| Publication Dates: | [2013] |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter studies in mathematics;
52 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110281903 http://www.degruyter.com/doc/cover/9783110281903.jpg |
| Summary: |
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. |
| Carrier Form: |
1 online resource(xiii,449pages) : illustrations. Also available in print edition. |
| ISBN: | 9783110281903（electronic bk.） |
| Index Number: | QA320 |
| CLC: | O177 |
| Contents: |
Frontmatter -- Preface / 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. |