대한수학회지 (Journal of the Korean Mathematical Society)

  • 제55권2호
  • /
  • Pages.313-326
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  • 2018
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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NORMAL WEIGHTED BERGMAN TYPE OPERATORS ON MIXED NORM SPACES OVER THE BALL IN ℂn

  • Avetisyan, Karen L. (Faculty of Mathematics and Mechanics Yerevan State University) ;
  • Petrosyan, Albert I. (Faculty of Mathematics and Mechanics Yerevan State University)
  • 투고 : 2017.03.19
  • 심사 : 2017.12.29
  • 발행 : 2018.03.01
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초록

The paper studies some new ${\mathbb{C}}^n$-generalizations of Bergman type operators introduced by Shields and Williams depending on a normal pair of weight functions. We find the values of parameter ${\beta}$ for which these operators are bounded on mixed norm spaces L(p, q, ${\beta}$) over the unit ball in ${\mathbb{C}}^n$. Moreover, these operators are bounded projections as well, and the images of L(p, q, ${\beta}$) under the projections are found.

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참고문헌

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