A Carleson inequality for B M O A functions with their derivatives on the unit ball

Hasi Wulan

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 4, page 777-784
  • ISSN: 0010-2628

Abstract

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The main purpose of this note is to give a new characterization of the well-known Carleson measure in terms of the integral for B M O A functions with their derivatives on the unit ball.

How to cite

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Wulan, Hasi. "A Carleson inequality for $BMOA$ functions with their derivatives on the unit ball." Commentationes Mathematicae Universitatis Carolinae 39.4 (1998): 777-784. <http://eudml.org/doc/248262>.

@article{Wulan1998,
abstract = {The main purpose of this note is to give a new characterization of the well-known Carleson measure in terms of the integral for $BMOA$ functions with their derivatives on the unit ball.},
author = {Wulan, Hasi},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Carleson measure; $BMOA$ functions; Hardy spaces; Carleson measure; BMOA functions; Hardy spaces},
language = {eng},
number = {4},
pages = {777-784},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A Carleson inequality for $BMOA$ functions with their derivatives on the unit ball},
url = {http://eudml.org/doc/248262},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Wulan, Hasi
TI - A Carleson inequality for $BMOA$ functions with their derivatives on the unit ball
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 4
SP - 777
EP - 784
AB - The main purpose of this note is to give a new characterization of the well-known Carleson measure in terms of the integral for $BMOA$ functions with their derivatives on the unit ball.
LA - eng
KW - Carleson measure; $BMOA$ functions; Hardy spaces; Carleson measure; BMOA functions; Hardy spaces
UR - http://eudml.org/doc/248262
ER -

References

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  1. An interpolation problem for bounded analytic functions, Carleson L. Amer. J. Math. 80 (1958), 921-930. (1958) 
  2. Interpolation by bounded analytic functions and the corona problem, Carleson L. Ann. of Math. 76(2) (1962), 547-559. (1962) 
  3. V M O A and vanishing Carleson measures, Chee P.S. Complex Variables Theory Appl. 25 (1994), 311-322. (1994) 
  4. L p -estimates for (pluri-)subharmonic functions, Hörmander L. Math. Scand. 20 (1967), 65-78. (1967) 
  5. Two Carleson measure theorems for Hardy spaces, Jevtić M. Proc. of the Koniklijke Nederlande Akademie van Wetenschappen Ser. A. 92 (1989), 315-321. (1989) 
  6. Forward and reverse Carleson inequalities for functions in Bergman spaces and their derivatives, Luecking H. Amer. J. Math. 107 (1985), 85-111. (1985) 
  7. Function theory in the unit ball in 𝒞 n , Rudin W. Springer Berlin (1980). (1980) 
  8. Carleson inequalities for Bergman spaces and Bloch spaces in the unit ball of 𝒞 n , Wulan H. Chinese Ann. Math. Ser. A 15(3) (1994), 352-358. (1994) 
  9. The Bergman spaces, the Bloch spaces, and Gleason's problem, Zhu K.H. Trans. Amer. Math. Soc. 309 (1988), 253-268. (1988) 

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