Linear operators generated by stochastic processes |
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Authors: | M Sh Braverman |
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Institution: | (1) Khabarov Polytechnic Institute, USSR |
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Abstract: | Let Xt(0 t < ) be a homogeneous stochastically continuous stochastic process with independent increments; (, A, P) be the corresponding probability space; p, q1 be fixed numbers. Necessary and sufficient conditions are found for a stochastic integral defined on finite-valued functions to be extendable to a bounded operator from Lp (0, ) to Lq() (p q).Translated from Teoriya Sluchainykh Protsessov, No. 16, pp. 7–13, 1988. |
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