Effective intervals and regular Dirichlet subspaces

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hankel operators and invariant subspaces of the Dirichlet space

The Dirichlet space D is the space of all analytic functions f on the open unit disc D such that f ′ is square integrable with respect to two-dimensional Lebesgue measure. In this paper we prove that the invariant subspaces of the Dirichlet shift are in 1-1 correspondence with the kernels of the Dirichlet-Hankel operators. We then apply this result to obtain information about the invariant subs...

متن کامل

Quasi-Regular Dirichlet Forms and Applications

Since the celebrated result of Fukushima on the connection between regular Dirichlet forms and Hunt processes in 1971, the theory of Dirichlet forms has been rapidly developed and has brought a wide range of applications in various related areas of mathematics and physics (see e.g. the three new books [BH 91], [MR 92], [FOT 94] and references therein). In this survey paper I shall mainly discus...

متن کامل

Quasi-regular Dirichlet forms: Examples and counterexamples

We prove some new results on quasi-regular Dirichlet forms. These include results on perturbations of Dirichlet forms, change of speed measure, and tightness. The tightness implies the existence of an associated right continuous strong Markov process. We also discuss applications to a number of examples including cases with possibly degenerate (sub)-elliptic part, diffusions on loops spaces, an...

متن کامل

Invariant Subspaces of the Dirichlet Shift and Pseudocontinuations

In this paper we study extremal functions for invariant subspaces Ji of the Dirichlet shift, i.e., solutions <p of the extremal problem »up{|/"»(0)|/||/||fl:/eur, /VO}. Here n is the smallest nonnegative integer such that the sup is positive. It is known that such a function <p generates J! . We show that the derivative (zip)' has a pseudocontinuation to the exterior disc. This pseudocontinuati...

متن کامل

Quasi-regular topologies for L-resolvents and semi-Dirichlet forms

We prove that for any semi-Dirichlet form (ε, D(ε)) on a measurable Lusin space E there exists a Lusin topology with the given σ-algebra as the Borel σ-algebra so that (ε, D(ε)) becomes quasi–regular. However one has to enlarge E by a zero set. More generally a corresponding result for arbitrary L-resolvents is proven.

متن کامل

ذخیره 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: Stochastic Processes and their Applications

سال: 2020

ISSN: 0304-4149

DOI: 10.1016/j.spa.2020.05.003