排序方式: 共有8条查询结果,搜索用时 645 毫秒
1
1.
A Remark on Zero and Peak Sets on Weakly Pseudoconvex Domains 总被引:1,自引:0,他引:1
Let be a relatively compact, smoothly bounded, pseudoconvexdomain of a Stein manifold, and let A() be the algebra of allcontinuous functions on which are holomorphic on . It is shown that a zero set on for A()is a peak set for A(). 相似文献
2.
Taoufik Hmidi Joan Mateu Joan Verdera 《Archive for Rational Mechanics and Analysis》2013,209(1):171-208
We show that the boundary of a rotating vortex patch (or V-state, in the terminology of Deem and Zabusky) is C ∞, provided the patch is close to the bifurcation circle in the Lipschitz norm. The rotating patch is also convex if it is close to the bifurcation circle in the C 2 norm. Our proof is based on Burbea’s approach to V-states. 相似文献
3.
Using the BMO-H1 duality (among other things), D. R. Adams provedin [1] the strong type inequality
whereC is some positive constant independent of f. Here M is theHardyLittlewood maximal operator in Rn, H is the -dimensionalHausdorff content, and the integrals are taken in the Choquetsense. The Choquet integral of 0 with respect to a set functionC is defined by
Precise definitionsof M and H will be given below. For an application of (1) tothe Sobolev space W1, 1 (Rn), see [1, p. 114]. The purpose of this note is to provide a self-contained, directproof of a result more general than (1). 1991 Mathematics SubjectClassification 28A12, 28A25, 42B25. 相似文献
4.
Joan Verdera 《Arkiv f?r Matematik》2000,38(1):183-199
The main goal of this paper is to present an alternative, real variable proof of theT(1)-theorem for the Cauchy integral. We then prove that the estimate from below of analytic capacity in terms of total Menger
curvature is a direct consequence of theT(1)-theorem. An example shows that theL
∞-BMO estimate for the Cauchy integral does not follow fromL
2 boundedness when the underlying measure is not doubling. 相似文献
5.
Joan Verdera 《Journal of Functional Analysis》1984,58(3):267-290
Let X?C be compact, 0>n∈Z, and g a continuous function on X. Let R(n,g,X) be the rational module consisting of the functions on X of the type r0 + r1g + ··· + rngn, where rj is a rational function with poles off X, 0 ? j ? n. It is shown that if X is nowhere dense, g is sufficiently smooth, and , then the restriction to X of each function in C∈(C) is approximable in the Lip(n ? 1, X)-norm, n ? 2, by functions in R(n, g, X). Also dealt with are approximation problems in Sobolev norms by more general types of rational modules. 相似文献
6.
7.
8.
In this paper we obtain rather precise estimates for the analytic capacity of a big class of planar Cantors sets. In fact, we show that analytic capacity and positive analytic capacity are comparable for these sets. The main tool for the proof is an appropriate version of the -Theorem.
1