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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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