Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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WEIGHTED POISSON INTEGRAL IN THE UNIT DISC

  • Koo, Hyung-Woon (Department of Mathematics, Hankuk University of Foreign Studies) ;
  • Park, Eun-Ui (Department of Mathematics, Hankuk University of Foreign Studies)
  • Published : 2000.09.01

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Abstract

In the unit disc, we find a sufficient condition to bound the Bergman norm by the weighted Poisson integral where the given weighted is $\mid$t$\mid$dt.

Keywords

References

  1. Math. J. Bergman norm estimates of Poisson integrals B. Choe;H. Koo;H. Yi
  2. Carleson type conditions and weighted inequalities for harmonic functions B. Choe;H. Koo;H. Yi
  3. Proc. London. Math. Soc. v.63 no.3 Embedding derivatives of Hardy spaces into Lebesgue spaces D. Luecking
  4. Nagoya Math. J. Two-weighted inequalities for the derivatives of homlomorphic functions and Carleson measures on the unit ball H. Kang;H. Koo
  5. Harmonic analysis E. M. Stein
  6. Fourier Analysis on Euclidean Spaces E. Stein;G. Weiss