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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 4, Fasc. 2,
pages 171 - 183
 

HOW TO SOLVE THE INEQUALITY Utm < m FOR EVERY t (0 < t < 1) ?

Zbigniew J. Jurek

Abstract: Let (U : 0 < t < 1)
  t be a semi-group of measurable transformations on a measurable space (X,M) . In this paper we characterize a s -finite measures m on M satisfying the inequality U m < m
 t for every t(0 < t < 1). Some applications are given for operator-selfdecomposable, V -decomposable, s-selfdecomposable, and multiply s-selfdecomposable measures.

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

Key words and phrases: -

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