A Gleason–Kahane–Żelazko theorem for the Dirichlet space
نویسندگان
چکیده
منابع مشابه
A Dirichlet Theorem for Polynomial Rings
We prove a Dirichlet theorem for polynomial rings: Let F be a pseudo algebraically closed field (i.e., each nonempty variety defined over F has an F-rational point). Then for all relatively prime polynomials a(X), b(X) ∈ F [X] and for every sufficiently large integer n there exist infinitely many polynomials c(X) ∈ F [X] such that a(X) + b(X)c(X) is irreducible of degree n, provided that F has ...
متن کاملThe Dirichlet space: a survey
6 The multiplier space and other spaces intrinsic to D theory 24 6.1 Multipliers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 6.2 The weakly factored space D D and its dual . . . . . . . . . . . 25 6.3 The Corona Theorem . . . . . . . . . . . . . . . . . . . . . . . . 27 6.3.1 The ∂-equation in the Dirichlet Space . . . . . . . . . . . 28 6.3.2 Corona Theorems and Complete Nev...
متن کاملGENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$
In this paper, using a generalized Dunkl translation operator, we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(psi,p)$-Lipschitz Dunkl condition in the space $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$, where $alpha>-frac{1}{2}$.
متن کاملThe classical Dirichlet space
D |f ′|2 dx dy. In particular, we will cover the basic structure of these functions their boundary values and their zeros along with two important operators that act on this space of functions the forward and backward shifts. This survey is by no means complete. For example, we will not cover the Toeplitz or Hankel operators on these functions, nor will we cover the important topic of interpola...
متن کاملDirichlet Prime Number Theorem
In number theory, the prime number theory describes the asymptotic distribution of prime numbers. We all know that there are infinitely many primes,but how are they distributed? Dirichlet’s theorem states that for any two positive coprime integers a and d, there are infinitely many primes which are congruent to a modulo d. A stronger form of Dirichlet’s theorem states that the sum of the recipr...
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: Journal of Functional Analysis
سال: 2018
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2017.10.013