Littlewood-Paley-Stein operators on Damek-Ricci spaces

被引：2

作者：

Fotiadis, Anestis ^{[1
]}

Papageorgiou, Effie ^{[1
]}

机构：

[1] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece

来源：

MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 12期

关键词：

Damek-Ricci spaces; gradient estimates; heat kernel; Littlewood-Paley-Stein operator; maximal operator; time derivative; HEAT KERNEL; BOUNDS; LAPLACIAN;

D O I：

10.1002/mana.201800305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain pointwise upper bounds on the derivatives of the heat kernel on Damek-Ricci spaces and we study theLp-boundedness of Littlewood-Paley-Stein operators.

引用

页码：2335 / 2347

页数：13

共 15 条

[1] Alexopoulos G., 2002, MEM AM MATH SOC, V155, P1
[2] Anker J.-Ph., 2003, AM MATH SOC TRANSL, P27
[3] Anker J-P., 1996, ANN SCUOLA NORM SUP, V23, P643
[4] Schrodinger Equations on Damek-Ricci Spaces
Anker, Jean-Philippe
Pierfelice, Vittoria
Vallarino, Maria
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (06) : 976 - 997
[5] SHARP ESTIMATES FOR SOME FUNCTIONS OF THE LAPLACIAN ON NONCOMPACT SYMMETRICAL SPACES
ANKER, JP
[J]. DUKE MATHEMATICAL JOURNAL, 1992, 65 (02) : 257 - 297
[6] Heat kernel and green function estimates on noncompact symmetric spaces
Anker, JP
Ji, L
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 1999, 9 (06) : 1035 - 1091
[7] A CLASS OF NONSYMMETRIC HARMONIC RIEMANNIAN SPACES
DAMEK, E
RICCI, F
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) : 139 - 142
[8] DAMEK E, 1987, C MATH, V53, P255
[9] HEAT KERNEL BOUNDS ON HYPERBOLIC SPACE AND KLEINIAN-GROUPS
DAVIES, EB
MANDOUVALOS, N
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1988, 57 : 182 - 208
[10] UPPER-BOUNDS OF DERIVATIVES OF THE HEAT KERNEL ON AN ARBITRARY COMPLETE MANIFOLD
GRIGORYAN, A
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 127 (02) : 363 - 389

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