Some covariance inequalities in Wiener space

被引：0

作者：

Mayer-Wolf, E. ^{[1
]}

Ustunel, A. S. ^{[2
]}

Zakai, M. ^{[3
]}

机构：

[1] Technion IIT, Dept Math, Haifa, Israel

[2] Telecom ParisTech, Dept Infres, F-75013 Paris, France

[3] Technion IIT, Dept Elect Engn, Haifa, Israel

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 255卷 / 09期

关键词：

Gaussian; Positively correlated; FKG; Logconcave; H-convex;

D O I：

10.1016/j.jfa.2008.06.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we give an account of some covariance inequalities in abstract Wiener space. An FKG inequality is obtained with positivity and monotonicity being defined in terms of a given cone in the underlying Cameron-Martin space. The last part is dedicated to convex and log-concave functionals, including a proof of the Gaussian conjecture for a particular class of log-concave Wiener functionals. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2563 / 2578

页数：16

共 50 条

[31] Compact hypersurfaces in euclidean space and some inequalities
Bektas, M.
Ergut, M.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2006, 30 (A3): : 285 - 289
[32] SOME CONSIDERATIONS ON SOCIAL INEQUALITIES AND THE SYMBOLIZATION OF SPACE
Gorban, Debora
REVISTA DE CIENCIAS SOCIALES-COSTA RICA, 2008, (122): : 49 - 58
[33] SOME GEOMETRICAL INEQUALITIES FOR SETS IN HILBERT SPACE
AULBACH, H
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (01) : 36 - 45
[34] Wiener spirals and some other interesting curves in the Hilberts space
Kolmogoroff, AN
COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1940, 26 : 115 - 118
[35] Characteristics of some classes of space-time covariance functions
De Iaco, S.
Posa, D.
Myers, D. E.
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2013, 143 (11) : 2002 - 2015
[36] Extended covariance identities and inequalities
Privault, N
STATISTICS & PROBABILITY LETTERS, 2001, 55 (03) : 247 - 255
[37] Some norm inequalities for accretive Hilbert space operators
Moosavi, Baharak
Hosseini, Mohsen Shah
CUBO-A MATHEMATICAL JOURNAL, 2024, 26 (02): : 327 - 340
[38] ON SOME NEW CONVERSES OF CONVEX INEQUALITIES IN HILBERT SPACE
Jaksic, Rozarija
Pecaric, Josip
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2015, 9 (02): : 63 - 82
[39] Some inequalities and superposition operator in the space of regulated functions
Olszowy, Leszek
Zajac, Tomasz
ADVANCES IN NONLINEAR ANALYSIS, 2020, 9 (01) : 1278 - 1290
[40] SOME INEQUALITIES FOR THE NUMERICAL RADIUS FOR HILBERT SPACE OPERATORS
Hosseini, Mohsen Shah
Omidvar, Mohsen Erfanian
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 94 (03) : 489 - 496

← 1 2 3 4 5 →