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초록· 키워드
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Let M be a smoothly bounded pseudoconvex complex man-ifold with a family of almost complex structures {Lγ}γ∈I , 0∈I, which extend smoothly up to bM , the boundary of M , and assume that there is λ∈C∞ (bM ) which is strictly subharmonic with respect to the structure L0|bM in any direction where the Levi-form vanishes on bM . We obtainexplicit estimates for the @-Neumann problem in Sobolev spaces both inspace and parameter variables. Also we get a similar result when M isstrongly pseudoconvex.
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참고문헌 (11)
참고문헌 신청
D. Catlin / 1980 / Boundary behavior of holomorphic functions on pseudoconvex domains / J. Differential Geom 15 (4) : 605 ~ 625
D. Catlin / 1994 / Sufficient conditions for the extension of CR structures / J. Geom. Anal 4 (4) : 467 ~ 538
D. Catlin / 2006 / Extension of CR structures on three dimensional compact pseudoconvex CR manifolds / Math. Ann 334 (2) : 253 ~ 280
J. J. Kohn / 1973 / Global regularity for ?@ on weakly pseudo-convex manifolds / Trans. Amer. Math. Soc 181 : 273 ~ 292
L. H¨ormander / 1965 / L2 estimates and existence theorems for the ?@ operator / Acta Math 113 : 89 ~ 152
D. Catlin / 1994 / Sufficient conditions for the extension of CR structures / J. Geom. Anal 4 (4) : 467 ~ 538
D. Catlin / 2006 / Extension of CR structures on three dimensional compact pseudoconvex CR manifolds / Math. Ann 334 (2) : 253 ~ 280
J. J. Kohn / 1973 / Global regularity for ?@ on weakly pseudo-convex manifolds / Trans. Amer. Math. Soc 181 : 273 ~ 292
L. H¨ormander / 1965 / L2 estimates and existence theorems for the ?@ operator / Acta Math 113 : 89 ~ 152
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