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HOLDER ESTIMATES FOR THE CAUCHY-RIEMANN EQUATION ON PARAMETERS

조상현
대한수학회 (The Korean Mathematical Society)|2011.03|대한수학회지 (Journal of the KMS)|제48권 제2호|pp. 241-252

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참고문헌

키워드

Holder estimatesintegral representation for ∂Cauchy-Riemann quation
주제분류수학

초록

Let <수식> be a family of strictly convex domains in C^n. We obtain explicit estimates for the solution of the ∂-equation on Ω × I in Holder space. We also obtain explicit point-wise derivative estimates for the ∂-equation both in space and parameter variables.

Abstract

Let <수식> be a family of strictly convex domains in C^n. We obtain explicit estimates for the solution of the ∂-equation on Ω × I in Holder space. We also obtain explicit point-wise derivative estimates for the ∂-equation both in space and parameter variables.

참고문헌 (10)

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  4. 조상현, "Explicit Sobolev estimates for the Cauchy-Riemann equation on parameters", 대한수학회보, 45(2), pp.321~338 (2008), 대한수학회
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  6. J. J. Kohn, "On the extension of holomorphic functions from the boundary of a complex manifold", Ann. of Math, 81, pp.451~472 (1965)
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  8. M.-C. Shaw, "L2-estimates and existence theorems for the tangential Cauchy-Riemann complex", Invent. Math, 82(1), pp.133~150 (1985)
  9. M.-C. Shaw, "Lp estimates for local solutions of @b on strongly pseudo-convex CR manifolds", Math. Ann, 288(1), pp.35~62 (1990)
  10. M.-C. Shaw, "Local existence theorems with estimates for @b on weakly pseudo-convex CR manifolds", Math. Ann, 294(4), pp.677~700 (1992)

관련 논문AI추천

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