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Growth norm estimates for barpartialon convex domains
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Abstract
We consider the growth norm of a measurable function f definedby|f|_{-sigma}=text{ess sup}{delta_D(z)^sigma|f(z)|:zinD},where delta_D(z) denote the distance from z to partial D.We prove some kind of optimal growth norm estimates forbarpartial on convex domains.
참고문헌 (9)
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- "Holomorphic Sobolev spaces on the ball", pp.1~ (1989)
- "Estimates on the mean growth of H^p functionsin convex domains of finite type", 131(8), pp.2393~2398 (2003)
- "Embedding of Hardy spaces intoweighted Bergman spaces in bounded domains with C^2 boundary", 48, pp.747~757 (2004)
- "Theory of H^p spaces" (1970), Academic Press
- "The Cauchy-Riemann equations in convex domains", pp.309~ (1991)
- "Holomorphic functions and integral representations in several complexvariables" (1986), Springer Verlag
- "older and BMO estimates for barpartial onconvex domains in mathbb C^2", pp.575~ (1992)
관련 논문AI추천
Growth norm estimates for $\bar\partial$ on convex domains권언근, 조홍래대한수학회 · 대한수학회논문집2007 · 제22권 제1호H\＂older estimates for $\bar\partial$ in analytic polyhedraHong Rae Cho대한수학회 · 대한수학회논문집2002 · 제17권 제3호Weighted $L^p$ estimates for $\bar\partial$ on a convex domain with piecewise smooth boundary in $\mathbb C^2$박종도, 조홍래대한수학회 · 대한수학회지2007 · 제44권 제6호boldmath Weighted L^p estimates for barpartial on a convex domainwith piecewise smooth boundary in mathbb C^2Hong Rae Cho and Jong-Do ParkHong Rae ChoJong-Do P대한수학회 · 대한수학회지2007 · 제44권 제6호Estimates of the Bergman kernel function on pseudoconvex domains with comparable Levi form조상현대한수학회 · 대한수학회지2002 · 제39권 제3호$L^p$ estimates with weights for the $\overline\partial$-equationon real ellipsoids in $\Bbb C^n$안흥주대한수학회 · 대한수학회논문집2003 · 제18권 제2호
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