Kyungpook Mathematical Journal

  • 제63권3호
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  • Pages.413-424
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  • 2023
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Lp-boundedness (1 ≤ p ≤ ∞) for Bergman Projection on a Class of Convex Domains of Infinite Type in ℂ2

  • Ly Kim Ha (University of Science, Ho Chi Minh City, Vietnam Vietnam National University, Faculty of Mathematics and Computer Science, University of Science, Vietnam National University Ho Chi Minh City)
  • 투고 : 2020.12.14
  • 심사 : 2021.06.14
  • 발행 : 2023.09.30
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초록

The main purpose of this paper is to show that over a large class of bounded domains Ω ⊂ ℂ2, for 1 < p < ∞, the Bergman projection 𝓟 is bounded from Lp(Ω, dV ) to the Bergman space Ap(Ω); from L∞(Ω) to the holomorphic Bloch space BlHol(Ω); and from L1(Ω, P(z, z)dV) to the holomorphic Besov space Besov(Ω), where P(ζ, z) is the Bergman kernel for Ω.

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과제정보

This research is funded by Vietnam National University Ho Chi Minh City (VNU-HCM) under grant number T2022-18-01.

참고문헌

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