Poisson integrals contained in harmonic bergman spaces on upper half-space

  • Yi, Heung-Su (Department of Mathematics, Research Institute of Basic Science, Kwangwoon University)
  • Published : 1997.01.01

Abstract

On the setting of the upper half-space, H of the euclidean n-space, we consider the question of when the Poisson integral of a function on the boundary of H is a harmonic Bergman function and here we give a partial answer.

Keywords

References

  1. Harmonic Function Theory S. Axler;P. Bourdon;W. Ramey
  2. Tran. Amer. Math. Soc. v.348 Harmonic Bergman Functions on Half-Spaces W. Ramey;H. Yi
  3. Fourier Analysis on Euclidean Spaces E. Stein;G. Weiss