연구동향 분석

The $\overline\partial$-problem with support conditions and pseudoconvexity of general order in K\ahler manifolds

Sayed Saber 2016년

논문상세정보
    • 저자 Sayed Saber
    • 제어번호 103364600
    • 학술지명 대한수학회지
    • 권호사항 Vol. 53 No. 6 [ 2016 ]
    • 발행처 대한수학회
    • 발행처 URL http://www.kms.or.kr
    • 자료유형 학술저널
    • 수록면 1211-1223
    • 언어 English
    • 출판년도 2016
    • 등재정보 KCI등재
    • 소장기관 건국대학교 상허기념중앙도서관 경북대학교 중앙도서관 계명대학교 동산도서관 성균관대학교 삼성학술정보관 성균관대학교 삼성학술정보관 숙명여자대학교 중앙도서관 영남대학교 과학도서관
    • 판매처
    유사주제 논문( 0)
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' The $\overline\partial$-problem with support conditions and pseudoconvexity of general order in K\ahler manifolds' 의 참고문헌

  • q-pseudoconvex and q-complete domains
    G. Vigna Suria Composito. Math 53 105-111 [1984]
  • The ∂-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in CPn with n ≥ 3
    J. Cao Math. Z 256 1 175-192 [2007]
  • The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries
    P. S. Harrington Math. Res. Lett 15 485-490 [2008]
  • The Strong Oka’s lemma, bounded plurisubharmonic functions and the ∂-Neumann problem
    P. S. Harrington Asian J. Math 11 1 127-139 [2007]
  • The L 2 ∂-Cauchy problem on weakly q-pseudoconvex domains in Stein manifolds
    S. Saber Czechoslovak Math. J 65 3 739-745 [2015]
  • Solution to ∂-equations with exact support on pseudoconvex manifolds
    O. Abdelkader Int. J. Geom. Methods Mod. Phys 4 3 339-348 [2007]
  • Solution to ∂ problem with exact support and regularity for the ∂-Neumann operator on weakly q-convex domains
    S. Saber Int. J. Geom. Methods Mod. Phys 7 1 135-142 [2010]
  • Smoothing q-convex functions and vanishing theorems
    K. Diederich Invent. Math 82 2 291-305 [1985]
  • Singular Integrals and Differentiability Properties of Functions
    E. M. Stein - [1970]
  • Regularit´e pour ∂ dans quelques domaines faiblement pseudo-convexes
    M. Derridj J. Differential Geometry 13 4 559-576 [1978]
  • Partial Differential Equations in Several Complex Vari-ables
    S.-C. Chen - [2001]
  • On the extension of holomorphic functions from the boundary of a complex manifold
    J. J. Kohn Ann. of Math 81 451-472 [1965]
  • Non-Homogeneous Boundary Value Problems and Applications. Vol. I
    J.-L. Lions - [1972]
  • Local existence theorems with estimates for ∂b on weakly pseudo-convex boundaries
    M.-C. Shaw Math. Ann 294 4 677-700 [1992]
  • L2 estimates and existence theorems for the ⎺∂ operator
    L. Hormander Acta Math 113 89-152 [1965]
  • Estimates for the ∂-Neumann problem and nonexistence of C2 Levi-flat hypersurfaces in CP n
    J. Cao Math. Z 248 1 183-221 [2004]
  • Equivalence of regularity for the Bergman projection and the ∂-Neumann problem
    H. P. Boas Manuscripta Math 67 1 25-33 [1990]
  • Domaines pseudoconvexes d’ordre g´en´eral et fonctions pseudoconvexes d’ordre g´en´eral
    O. Fujita J. Math. Kyoto Univ 30 4 637-649 [1990]
  • Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
    Y. T. Siu J. Differential Geom 17 1 55-138 [1982]
  • Complex Analysis and CR Geometry
    G. Zampieri - [2008]
  • Cohomologically complete and pseudoconvex domains
    M. G. Eastwood Comment. Math. Helv 55 3 413-426 [1980]
  • Carleman estimates for the Laplace-Beltrami equation on complex manifolds
    A. Andreotti dInst. Hautes Etudes Sci. Publ. Math 25 81-130 [1965]
  • Bounded P.S.H. functions and pseudoconvexity in Ka¨hler manifolds
    T. Ohsawa Nagoya Math. J 149 1-8 [1998]
  • Boundary distance functions and q-convexity of pseudoconvex domains of general order in K¨ahler manifolds
    K. Matsumoto J. Math. Soc. Japan 48 1 85-107 [1996]
  • A Sobolev mapping property of the Bergman kernel
    B. Berndtsson Math. Z 235 1 1-10 [2000]