Probability and Mathematical Statistics: Vol. 10, Fasc. 1


	UNIVERSITY OF WROCŁAW

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	WROCŁAW UNIVERSITY OF SCIENCE AND TECHNOLOGY

Contents of PMS, Vol. 10, Fasc. 1,
pages 107 - 118

SHIFTED MOMENT PROBLEM FOR GAUSSIAN MEASURES IN SOME ORLICZ SPACES

Maciej Lewandowski

Abstract: Suppose that two Gaussian measures $m 1$ and $m 2$ on Orlicz space $(L (T,F,m),|||| ) M M$ fulfill the condition

$integral q ||x + y||M(m1 -m2)(dy) = 0$ (*)

for each $x$ from $LM .$

It is proved that, under some assumptions on modular $M,$ measure $m$ and $q,$ condition (*) implies $m1 = m2.$

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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