Weyl integrals on weighted spaces-Reference-Cited by-同舟云学术

Weyl integrals on weighted spaces

Published:2019-10-01 Issue:5 Volume:22 Page:1225-1248
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Kleiner Tillmann¹,Hilfer Rudolf¹

Affiliation:

1. ICP, Fakultät für Mathematik und Physik , Universität Stuttgart Allmandring , 3, 70569 , Stuttgart , Germany

Abstract

Abstract Weighted spaces of continuous functions are introduced such that Weyl fractional integrals with orders from any finite nonnegative interval define equicontinuous sets of continuous linear endomorphisms for which the semigroup law of fractional orders is valid. The result is obtained from studying continuity and boundedness of convolution as a bilinear operation on general weighted spaces of continuous functions and measures.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0065/pdf

Reference22 articles.

1. S. Berberian, On the convolution of a measure and a function. Proc. Amer. Math. Soc. 53 (1975), 399–403.

2. N. Bourbaki, Elements of Mathematics: Integration I. Springer, Berlin (2004).

3. N. Bourbaki, Elements of Mathematics: Integration II. Springer, Berlin (2004).

4. B. Davey, H. Priestley, Introduction to Lattices and Order, 2 Ed. Cambridge University Press, Cambridge (2002).

5. R. Edwards, The stability of weighted Lebesgue spaces. Trans. Amer. Math. Soc. 93 (1959), 369–394.

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