Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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TOEPLITZ OPERATORS ON BERGMAN SPACES DEFINED ON UPPER PLANES

  • SI HO KANG (Department of Mathmatics Sookmyung Women`s University) ;
  • JA YOUNG KIM (Department of Mathematics Sookmyung Women`s University)
  • Published : 1999.01.01
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Abstract

We study some properties of Toeplitz operators on the Bergman spaces B\ulcorner(H\ulcorner), where H\ulcorner={x+iy : y>r}. We consider the pseudo-hyperbolic disk and the covering property. We also obtain some characterizations of compact Toeplitz operators.

Keywords

References

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  2. Harmonic Function Theory S. Axler;P. Bourden;W. Ramey
  3. Integral Equations and Operator Theory v.27 Toeplitz Operators on Harmonic Bergman Spaces J. Miao
  4. J. Nat. Sci. Sookmyung Women's Univ. v.8 Bergman Functions on Upper Planes S.H. Kang;J. Y. Kim
  5. Operator Theory in Functions Spaces K. Zhu