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Volumn 41, Issue 1, 1997, Pages 151-160

L2 cohomology of the Bergman metric for weakly pseudoconvex domains

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EID: 0031093408     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1255985851     Document Type: Article
Times cited : (29)

References (14)
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    • Bailey, W.1    Borel, A.2
  • 2
    • 0000086459 scopus 로고
    • Estimates of invariant metrics on pseudoconvex domains of dimension two
    • D. Catlin, Estimates of invariant metrics on pseudoconvex domains of dimension two, Math. Zeitschrift 200 (1989), 429-466.
    • (1989) Math. Zeitschrift , vol.200 , pp. 429-466
    • Catlin, D.1
  • 4
    • 0003183535 scopus 로고
    • An explicit computation of the Bergman kernel function
    • _, An explicit computation of the Bergman kernel function, J. Geometric Analysis 4 (1994), 23-33.
    • (1994) J. Geometric Analysis , vol.4 , pp. 23-33
  • 5
    • 0001177465 scopus 로고
    • 2 cohomology of pseudoconvex domains with complete Kaehler metric
    • 2 cohomology of pseudoconvex domains with complete Kaehler metric, Michigan Math. J. 41 (1994), 433-442.
    • (1994) Michigan Math. J. , vol.41 , pp. 433-442
    • Donnelly, H.1
  • 6
    • 0000585515 scopus 로고
    • 2-cohomology and index theorem for the Bergman metric
    • 2-cohomology and index theorem for the Bergman metric, Ann. of Math. 118 (1983), 593-618.
    • (1983) Ann. of Math. , vol.118 , pp. 593-618
    • Donnelly, H.1    Fefferman, C.2
  • 7
    • 0002906597 scopus 로고
    • Analysis in homogeneous domains
    • S. Gindikin, Analysis in homogeneous domains, Russian Math. Surveys 19 (1964), 1-89.
    • (1964) Russian Math. Surveys , vol.19 , pp. 1-89
    • Gindikin, S.1
  • 10
    • 84855988580 scopus 로고
    • 2 estimates and existence theorems for the ∂̄ operator
    • 2 estimates and existence theorems for the ∂̄ operator, Acta. Math. 113 (1965), 89-152.
    • (1965) Acta. Math. , vol.113 , pp. 89-152
  • 11
    • 0000577746 scopus 로고
    • Estimates on the Bergman kernels of convex domains
    • J. McNeal, Estimates on the Bergman kernels of convex domains, Advances in Math. 109 (1994), 108-139.
    • (1994) Advances in Math. , vol.109 , pp. 108-139
    • McNeal, J.1
  • 12
    • 0001294241 scopus 로고
    • On completeness of the Bergman metric
    • T. Ohsawa, On completeness of the Bergman metric, Proc. Jap. Acad. Sci. 57 (1981), 238-240.
    • (1981) Proc. Jap. Acad. Sci. , vol.57 , pp. 238-240
    • Ohsawa, T.1
  • 13
    • 34250238662 scopus 로고
    • A reduction theorem for cohomology group of very strongly q-convex Kaehler manifolds
    • _,. A reduction theorem for cohomology group of very strongly q-convex Kaehler manifolds, Inventiones Math. 63 (1981), 333-354.
    • (1981) Inventiones Math. , vol.63 , pp. 333-354


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.