NECESSARY AND SUFFICIENT CONDITIONS FOR GHS INEQUALITY WITH APPLICATIONS TO ANALYSIS AND PROBABILITY

被引:35
作者
ELLIS, RS
NEWMAN, CM
机构
[1] UNIV MASSACHUSETTS,DEPT MATH & STAT,AMHERST,MA 01002
[2] TECHNION ISRAEL INST TECHNOL,DEPT MATH & PHYS,HAIFA,ISRAEL
关键词
D O I
10.2307/1997611
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:83 / 99
页数:17
相关论文
共 16 条
[1]  
Bers L., 1964, PARTIAL DIFFERENTIAL
[2]   ON EXTENSIONS OF BRUNN-MINKOWSKI AND PREKOPA-LEINDLER THEOREMS, INCLUDING INEQUALITIES FOR LOG CONCAVE FUNCTIONS, AND WITH AN APPLICATION TO DIFFUSION EQUATION [J].
BRASCAMP, HJ ;
LIEB, EH .
JOURNAL OF FUNCTIONAL ANALYSIS, 1976, 22 (04) :366-389
[3]  
Chernoff P. R., 1968, J FUNCT ANAL, V2, P238
[4]   GHS AND OTHER CORRELATION INEQUALITIES FOR A CLASS OF EVEN FERROMAGNETS [J].
ELLIS, RS ;
MONROE, JL ;
NEWMAN, CM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 46 (02) :167-182
[5]  
GIHMAN II, 1969, INTRO THEORY RANDOM
[6]  
Griffiths R. B., 1970, Journal of Mathematical Physics, V11, P790, DOI 10.1063/1.1665211
[7]   RIGOROUS RESULTS FOR ISING FERROMAGNETS OF ARBITRARY SPIN [J].
GRIFFITHS, RB .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (09) :1559-+
[8]  
Kato T., 1966, PERTURBATION THEORY, V132, P396
[9]  
Mandl P., 1968, ANALYTICAL TREATMENT
[10]  
Saul'yev V.K., 1964, INTEGRATION EQUATION