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A Transformation of Generalized Integro-Differential Operators of the KREIN-FELLER-LÉVY Type

✍ Scribed by Boldsuch Zagany


Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
221 KB
Volume
130
Category
Article
ISSN
0025-584X

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✦ Synopsis


Let in and p be increasing cont~inuous functions on [O. 11. ~( 0 ) =0, p ( 0 ) = 0 , and hEB[O, 13 (the space of ali bounded measurable functions 011 [0,

rp(.)+h(.) j-(4s) clnc(s)EC[O, 13:

and define for such functions f :

Evidently, if b is continuous, the definition of DmDp concides with the usual one as an operator in C[O, 11 (see [2], [Fj]. It is easily seen that for g ~C [ 0 ,


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