Hölder and $L^p$ estimates for solutions of $\overline \partial u = f$ in strongly pseudoconvex domains
نویسندگان
چکیده
منابع مشابه
Pseudolocal Estimates for ∂̄ on General Pseudoconvex Domains
Extending the well-known results for smoothly bounded case, we show that subelliptic and pseudolocal estimates hold in the neighbourhood of a smooth strictly pseudoconvex (or finite type) boundary point of any pseudoconvex domain (i.e. possibly unbounded or with nonsmooth boundary). As an application, we also prove the corresponding generalization of Kerzman’s and Fefferman-Boutet de Monvel-Sjö...
متن کاملRemovable Singularities for Analytic Varieties in Strongly Pseudoconvex Domains
Let M be a closed maximally complex submanifold of some relatively compact open subset A of the boundary of a strictly pseudoconvex domain Ω of C. We find an open domain à of Ω, depending only on Ω and A, and a complex variety with isolated singularities W ⊂ à such that bW ∩ A = M .
متن کاملBMO ON STRONGLY PSEUDOCONVEX DOMAINS: HANKEL OPERATORS, DUALITY AND a-ESTIMATES
We study the condition that characterizes the symbols of bounded Hankel operators on the Bergman space of a strongly pseudoconvex domain and show that it is equivalent to BMO plus analytic. (Here we mean the Bergman metric BMO of Berger, Coburn and Zhu.) In the course of the proof we obtain new d -estimates that may be of independent interest. Some applications include a decomposition of BMO si...
متن کاملCarleson measures and uniformly discrete sequences in strongly pseudoconvex domains
We characterize, using the Bergman kernel, Carleson measures of Bergman spaces in strongly pseudoconvex bounded domains in C, generalizing to this setting theorems proved by Duren and Weir for the unit ball. We also show that uniformly discrete (with respect to the Kobayashi distance) sequences give examples of Carleson measures, and we compute the speed of escape to the boundary of uniformly d...
متن کاملStrongly Pseudoconvex Domains as Subvarieties of Complex Manifolds
In this paper – a sequel to [14] – we obtain existence and approximation results for closed complex subvarieties that are normalized by strongly pseudoconvex Stein domains. Our sufficient condition for the existence of such subvarieties in a complex manifold X is expressed in terms of the Morse indices and the number of positive Levi eigenvalues of an exhaustion function on X. Examples show tha...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1970
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1970-12587-3