Lp-Lq OFF-DIAGONAL ESTIMATES FOR THE ORNSTEIN-UHLENBECK SEMIGROUP: SOME POSITIVE AND NEGATIVE RESULTS

被引：1
|
作者：
Amenta, Alex [1 ]
Teuwen, Jonas [2 ,3 ]
机构：
[1] Delft Univ Technol, Delft Inst Appl Math, POB 5031, NL-2628 CD Delft, Netherlands
[2] Netherlands Canc Inst Antoni van Leeuwenhoek, Div Radiat Oncol, Plesmanlaan 121, NL-1066 CX Amsterdam, Netherlands
[3] Delft Univ Technol, Dept Imaging Phys, Opt Res Grp, POB 5031, NL-2628 CD Delft, Netherlands
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 96卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
Ornstein-Uhlenbeck semigroup; off-diagonal estimates; Mehler kernel; ELLIPTIC-OPERATORS; INEQUALITIES;
D O I：
10.1017/S0004972716001386
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate L-p(gamma)-L-q(gamma) off -diagonal estimates for the Ornstein- Uhlenbeck semigroup (e(tL))(t > 0). For sufficiently large t ( quantified in terms of p and q), these estimates hold in an unrestricted sense, while, for sufficiently small t, they fail when restricted to maximal admissible balls and sufficiently small annuli. Our counterexample uses Mehler kernel
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页码：154 / 161
页数：8
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