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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,355 - 1,375 (21page)
- DOI
- 10.4134/BKMS.b200764
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초록· 키워드
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The $n$-dimensional generalized Hartogs triangles $\mathbb{H}_{\textbf{p}}^n$ with $n\geq2$ and $\textbf{p}:=(p_1,\ldots,p_n)\in(\mathbb{R}^+)^n$ are the domains defined by $$\mathbb{H}_{\textbf{p}}^n:=\{z=(z_1,\ldots,z_n)\in\mathbb{C}^n:|z_1|^{p_1}<\cdots<|z_n|^{p_n}<1\}.$$ In this paper, we study the $L^p$ Sobolev mapping properties for the \linebreak Bergman projections on the $n$-dimensional generalized Hartogs triangles $\mathbb{H}_{\textbf{p}}^n$, which can be viewed as a continuation of the work by S. Zhang in \cite{Zhang1} and a higher-dimensional generalization of the work by L. D. Edholm and J. D. McNeal in \cite{Edh3}.
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참고문헌 (26)
참고문헌 신청
David E. Barrett / 1992 / Behavior of the Bergman projection on the Diederich-Fornæss worm / Acta Mathematica 168(1-2):1~10
T. Beberok / 2017 / Lp boundedness of the Bergman projection on some generalized Hartogs triangles / Bull. Iranian Math. Soc 43(7):2275~2280
Steven R. Bell / 1981 / Biholomorphic mappings and the ∂¯-problem / The Annals of Mathematics 114(1):103~113
Steve Bell / 1980 / A simplification and extension of Fefferman's theorem on biholomorphic mappings / Inventiones Mathematicae 57(3):283~289
Harold P. Boas / 1991 / Sobolev estimates for the ∂-Neumann operator on domains in Cn admitting a defining function that is plurisubharmonic on the boundary / Mathematische Zeitschrift 206(1):81~88
T. Beberok / 2017 / Lp boundedness of the Bergman projection on some generalized Hartogs triangles / Bull. Iranian Math. Soc 43(7):2275~2280
Steven R. Bell / 1981 / Biholomorphic mappings and the ∂¯-problem / The Annals of Mathematics 114(1):103~113
Steve Bell / 1980 / A simplification and extension of Fefferman's theorem on biholomorphic mappings / Inventiones Mathematicae 57(3):283~289
Harold P. Boas / 1991 / Sobolev estimates for the ∂-Neumann operator on domains in Cn admitting a defining function that is plurisubharmonic on the boundary / Mathematische Zeitschrift 206(1):81~88
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