| Title:
|
Exakte Größenordnung für das Randverhalten des Poissonschen Integrals von BMO-Funktionen und VMO-Funktionen (German) |
| Title:
|
The exact asymptotic behaviour of the Poisson integral of BMO and VMO functions (English) |
| Author:
|
Boche, Holger |
| Language:
|
German |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
7 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
23-31 |
| . |
| Category:
|
math |
| . |
| MSC:
|
31A20 |
| MSC:
|
42A50 |
| MSC:
|
44A15 |
| idZBL:
|
Zbl 1022.31002 |
| idMR:
|
MR1724081 |
| . |
| Date available:
|
2009-01-30T09:07:09Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120544 |
| . |
| Reference:
|
[1] H. Boche: Untersuchungen zum Verhalten des Hardy-Littlewood Maximaloperators und des Poissonschen Integrals für VMO-Funktionen.accepted in Illinois Journal of Mathematics. |
| Reference:
|
[2] H. Boche: Konvergenzverhalten der konjugierten Shannonschen Abtastreihe.Acta Mathematica et Informatica Universitatis Ostraviensis, 5:13-26, 1997. Zbl 0931.42024, MR 1828547 |
| Reference:
|
[3] H. Boche: Verhalten der Cauchy-Transformation und der Hilbert-Transformation fur auf dem Einheitskreis stetige Funktionen.accepted in Archives of Mathematics, 10 pages, 1998. |
| Reference:
|
[4] J. B. Garnett: Bounded Analytic Functions.Pure and applied Mathematics Bd. 96, Academic Press, New York, 1981. Zbl 0469.30024, MR 0628971 |
| Reference:
|
[5] J. Garcia-Cuerva J. Rubio De Francia: Weighted norm Inequalities and related topics.North-Holland Mathematics Studies, New York, 1986. MR 0807149 |
| Reference:
|
[6] Ch. Pommerenke: Boundary Behaviour of Conformal Maps.Grundlehren der mathematischen Wissenschaften Bd. 299, Springer Verlag, Berlin Heidelberg New York, 1992. Zbl 0762.30001, MR 1217706 |
| Reference:
|
[7] D. Sarason: Functions of vanishing mean oscillation.Trans. Amer. Math. Soc, 79:391-405, 1975. Zbl 0319.42006, MR 0377518 |
| Reference:
|
[8] E.M. Stein: Harmonic Analysis; Real-Variable Methods, Orthogonality, and Oscillatory Integrals.Princeton Mathematical Series, 43, Princeton University Press, Princeton, New Jersey, 1993. Zbl 0821.42001, MR 1232192 |
| Reference:
|
[9] A. Torchinsky: Real-variable methods in Harmonic Analysis.Pure and applied Mathematics Bd. 123, Academic Press, New York, 1986. Zbl 0621.42001, MR 0869816 |
| Reference:
|
[10] A. Zygmund: Trigonometric Series I, II.Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1990. |
| . |
