• 제목/요약/키워드: generalized Hartogs triangles

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Lp SOBOLEV MAPPING PROPERTIES OF THE BERGMAN PROJECTIONS ON n-DIMENSIONAL GENERALIZED HARTOGS TRIANGLES

  • Zhang, Shuo
    • 대한수학회보
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    • 제58권6호
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    • pp.1355-1375
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    • 2021
  • The n-dimensional generalized Hartogs triangles ℍn𝐩 with n ≥ 2 and 𝐩 := (p1, …, pn) ∈ (ℝ+)n are the domains defined by ℍn𝐩 := {z = (z1, …, zn) ∈ ℂn : |z1|p1 < ⋯ < |zn|pn < 1}. In this paper, we study the Lp Sobolev mapping properties for the Bergman projections on the n-dimensional generalized Hartogs triangles ℍn𝐩, which can be viewed as a continuation of the work by S. Zhang in [25] and a higher-dimensional generalization of the work by L. D. Edholm and J. D. McNeal in [16].