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The exact asymptotic behaviour of the Poisson integral of BMO and VMO functions

Holger Boche

Acta Mathematica et Informatica Universitatis Ostraviensis (1999)

  • Volume: 07, Issue: 1, page 23-31
  • ISSN: 1804-1388

How to cite

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Boche, Holger. "Exakte Größenordnung für das Randverhalten des Poissonschen Integrals von BMO-Funktionen und VMO-Funktionen." Acta Mathematica et Informatica Universitatis Ostraviensis 07.1 (1999): 23-31. <http://eudml.org/doc/23823>.

@article{Boche1999,
author = {Boche, Holger},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {BMO; VMO; Poisson integral; boundary behaviour},
language = {ger},
number = {1},
pages = {23-31},
publisher = {University of Ostrava},
title = {Exakte Größenordnung für das Randverhalten des Poissonschen Integrals von BMO-Funktionen und VMO-Funktionen},
url = {http://eudml.org/doc/23823},
volume = {07},
year = {1999},
}

TY - JOUR
AU - Boche, Holger
TI - Exakte Größenordnung für das Randverhalten des Poissonschen Integrals von BMO-Funktionen und VMO-Funktionen
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1999
PB - University of Ostrava
VL - 07
IS - 1
SP - 23
EP - 31
LA - ger
KW - BMO; VMO; Poisson integral; boundary behaviour
UR - http://eudml.org/doc/23823
ER -

References

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  1. H. Boche, Untersuchungen zum Verhalten des Hardy-Littlewood Maximaloperators und des Poissonschen Integrals für VMO-Funktionen, accepted in Illinois Journal of Mathematics. 
  2. H. Boche, Konvergenzverhalten der konjugierten Shannonschen Abtastreihe, Acta Mathematica et Informatica Universitatis Ostraviensis, 5:13-26, 1997. (1997) Zbl0931.42024MR1828547
  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. (1998) 
  4. J. B. Garnett, Bounded Analytic Functions, Pure and applied Mathematics Bd. 96, Academic Press, New York, 1981. (1981) Zbl0469.30024MR0628971
  5. J. Garcia-Cuerva J. Rubio De Francia, Weighted norm Inequalities and related topics, North-Holland Mathematics Studies, New York, 1986. (1986) MR0807149
  6. Ch. Pommerenke, Boundary Behaviour of Conformal Maps, Grundlehren der mathematischen Wissenschaften Bd. 299, Springer Verlag, Berlin Heidelberg New York, 1992. (1992) Zbl0762.30001MR1217706
  7. D. Sarason, Functions of vanishing mean oscillation, Trans. Amer. Math. Soc, 79:391-405, 1975. (1975) Zbl0319.42006MR0377518
  8. E.M. Stein, Harmonic Analysis; Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Mathematical Series, 43, Princeton University Press, Princeton, New Jersey, 1993. (1993) Zbl0821.42001MR1232192
  9. A. Torchinsky, Real-variable methods in Harmonic Analysis, Pure and applied Mathematics Bd. 123, Academic Press, New York, 1986. (1986) Zbl0621.42001MR0869816
  10. A. Zygmund, Trigonometric Series I, II, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1990. (1990) 

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