On a class of Markov type semigroups in spaces of uniformly continuous and bounded functions

被引：0

作者：

Priola, E ^{[1
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

STUDIA MATHEMATICA | 1999年 / 136卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a new class of Markov type semigroups (not strongly continuous in general) in the space of all real, uniformly continuous and bounded functions on a separable metric space E. Our results allow us to characterize the generators of Markov transition semigroups in infinite dimensions such as the heat and the Ornstein-Uhlenbeck semigroups.

引用

页码：271 / 295

页数：25

共 50 条

[21] CONTINUOUS FUNCTIONS SPACES WITH BOUNDED EXTENSION PROPERTY
AMIR, D
BULLETIN OF THE RESEARCH COUNCIL OF ISRAEL, 1962, F 10 (03): : 133 - &
[22] Uniformly continuous superposition operators in the space of bounded variation functions
Matkowski, Janusz
MATHEMATISCHE NACHRICHTEN, 2010, 283 (07) : 1060 - 1064
[23] Uniformly continuous composition operators in the space of bounded φ-variation functions
Guerrero, J. A.
Leiva, H.
Matkowski, J.
Merentes, N.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) : 3119 - 3123
[24] A REMARK ON SPACES OF BOUNDED CONTINUOUS-FUNCTIONS
PELANT, J
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1988, 91 (03): : 335 - 338
[25] The exponential representation of holomorphic functions of uniformly bounded type
Quang, TT
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 76 : 235 - 246
[26] On quasi-uniformly continuous functions and Lebesgue spaces
Marin, J
Romaguera, S
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1996, 48 (3-4): : 347 - 355
[27] DOMINATION OF UNIFORMLY CONTINUOUS SEMIGROUPS
ARENDT, W
VOIGT, J
ACTA APPLICANDAE MATHEMATICAE, 1992, 27 (1-2) : 27 - 31
[28] Diffusion semigroups in spaces of continuous functions with mixed topology
Goldys, B
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 173 (01) : 17 - 39
[29] Stability of (eventually) positive semigroups on spaces of continuous functions
Arora, Sahiba
Glueck, Jochen
COMPTES RENDUS MATHEMATIQUE, 2022, 360 (01) : 771 - 775
[30] Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces
Kruse, Karsten
COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 18 (05)

← 1 2 3 4 5 →