본문 바로가기
KERD
논문KCI 등재

Inequalities for the integral means of holomorphic functions in the strongly pseudoconvex domain

이진기|Hong Rae Cho
대한수학회 (The Korean Mathematical Society)|2005.04|대한수학회논문집 (Communications of the KMS)|제20권 제2호|pp. 339-350

3

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

We obtain the following two inequalities on a strongly pseudoconvex domain ­ in Cn : for f 2 O(­) Z ±0 0 tajj+bMa p (t;Df) dt . Z ±0 0 tbMa p (t; f) dt Z ±0 0 tbMa p (t; f) dt . m Xj=0 Z ±0 0 tam+bMa p ³t;Njf´dt: In [9], Shi proved these results for the unit ball in Cn. These are generalizations of some classical results of Hardy and Littlewood.

참고문헌 (8)

  1. "Lp estimates for extensions of holomorphic functions", 32, pp.361~380 (1985)
  2. "Estimates for Derivatives of Holomorphic Functions in PseudoconvexDomains", 191, pp.91~116 (1986)
  3. "Estimates on the mean growth ofHp functions in convex domains ofnite type", 131(8), pp.2393~2398 (2003)
  4. "Sobolev-type embedding theorems for harmonic andholomorphic Sobolev spaces", 40(3), pp.435~445 (2003)
  5. "Growth rate of the functions in Bergman type spaces", 285, pp.275~281 (2003)
  6. "Hankel operators on weighted Bergman spaces on strongly domains", 38(2), pp.223~249 (1994)
  7. "Holomorphic functions and integral representations in several com-plex variables" (1986), Springer-Verlag
  8. "Inequalities for the integral means of holomorphic functions and theirderivatives in the unit ball ofCn", 328(2), pp.619~637 (1991)

관련 논문AI추천

Estimates of the Bergman kernel function on pseudoconvex domains with comparable Levi form조상현대한수학회 · 대한수학회지2002 · 제39권 제3호On H\"older estimates for Cauchy transforms on convex domains in $\mathbb{C}^2$Ly Kim Ha대한수학회 · 대한수학회보2019 · 제56권 제4호Growth norm estimates for $\bar\partial$ on convex domains권언근, 조홍래대한수학회 · 대한수학회논문집2007 · 제22권 제1호Extremal problems on the Cartan-Hartogs domainsAn Wang, Xin Zhao, Zhiyin Liu대한수학회 · 대한수학회지2007 · 제44권 제6호Weighted $L^p$ estimates for $\bar\partial$ on a convex domain with piecewise smooth boundary in $\mathbb C^2$박종도, 조홍래대한수학회 · 대한수학회지2007 · 제44권 제6호Holomorphic functions satisfying mean Lipschitzcondition in the ball구형운, 권언근, 조홍래대한수학회 · 대한수학회지2007 · 제44권 제4호

이 간행물의 다른 논문 (18건)

양의 단면 곡률을 가지는 컴팩트 공간에 대하여고관석pp. 195-207On tor-torsion theoriesM. Golriz, M. H. Bijanzadehpp. 209-219On direct sums in bounded BCK-algebrasYisheng Huangpp. 221-229The mass formula of orders over a dyadic local field전성태, 김인숙pp. 231-238On the genus of certain Drinfeld modular curves김창헌, Daeyeol Jeonpp. 239-246
원문 보기