Variable order subordination in the sense of Bochner and pseudo-differential operators

被引：1

作者：

Evans, Kristian ^{[1
]}

Jacob, Niels ^{[1
]}

机构：

[1] Swansea Univ, Dept Math, Swansea SA2 8PP, W Glam, Wales

来源：

MATHEMATISCHE NACHRICHTEN | 2011年 / 284卷 / 8-9期

关键词：

Subordination in the sense of Bochner; pseudo-differential operators of variable order; Feller semigroups; NEGATIVE DEFINITE SYMBOLS; STABLE-LIKE PROCESSES; FELLER SEMIGROUPS; GENERATORS; CALCULUS;

D O I：

10.1002/mana.200810246

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a large class of pseudo-differential operators with a negative definite symbol q(x, xi) in the sense of Hoh and for a large family of x-dependent Bernstein functions f(x, .) we prove that the pseudo-differential operator with symbol -f(x, q(x, xi)) has an extension generating a Feller semigroup. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：987 / 1002

页数：16

共 50 条

[1] PSEUDO-DIFFERENTIAL ANISOTROPIC OPERATORS OF VARIABLE ORDER
HUNT, C
PIRIOU, A
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 268 (01): : 28 - &
[2] Subordination in the sense of S. Bochner - An approach through pseudo differential operators
Jacob, N
Schilling, RL
MATHEMATISCHE NACHRICHTEN, 1996, 178 : 199 - 231
[3] PSEUDO-DIFFERENTIAL OPERATORS
HORMANDE.L
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1965, 18 (03) : 501 - &
[4] Pseudo-Differential Operators
Yuan, Wen
Sickel, Winfried
Yang, Dachun
MORREY AND CAMPANATO MEET BESOV, LIZORKIN AND TRIEBEL, 2010, 2005 : 137 - 146
[5] PSEUDO-DIFFERENTIAL OPERATORS
VAROPOULOS, NT
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1990, 310 (11): : 769 - 774
[6] The Periodic Cauchy Kernel, the Periodic Bochner Kernel, and Discrete Pseudo-Differential Operators
Vasilyev, Vladimir
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
[7] On Boundedness of Pseudo-Differential Operators in Holder-Zygmund Spaces with Variable Order of Smoothness
Omarova, G. P.
RUSSIAN MATHEMATICS, 2015, 59 (06) : 68 - 70
[8] Spectral asymptotics for infinite order pseudo-differential operators
Pilipovic, Stevan
Prangoski, Bojan
Vindas, Jasson
BULLETIN OF MATHEMATICAL SCIENCES, 2018, 8 (01) : 81 - 120
[9] Commutators of pseudo-differential operators
Lin Yan
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (03): : 453 - 460
[10] Commutators of pseudo-differential operators
LIN Yan School of Mathematical Sciences
Science China Mathematics, 2008, (03) : 453 - 460

← 1 2 3 4 5 →