Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 269, Issue 2, Pages 387-400Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-247X(02)00049-5
Keywords
Hadamard-type fractional integration; spaces of p-summable functions; confluent hypergeometric functions
Categories
Ask authors/readers for more resources
This paper is devoted to the study of four integral operators that are basic generalizations and modifications of fractional integrals of Hadamard in the space X-c(p) of functions f on R+ = (0, infinity) such that (O)integral(infinity) \u(c) f(u)\(p) du/u 0)ess sup[u(c)\f(u)\] < infinity (p = infinity), c is an element of R = (-infinity, infinity), in particular in the space L-P (0, infinity) (1 less than or equal to p less than or equal to infinity). The semigroup property and its generalizations are established for the generalized Hadamard-type fractional integration operators under consideration. Conditions are also given for the boundedness in X-c(p) of these operators they involve Kummer confluent hypergeometric functions as kernels. (C) 2002 Elsevier Science (USA) All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available