scholarly journals Multilinear fractional integral operators on non-homogeneous metric measure spaces

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Huajun Gong ◽  
Rulong Xie ◽  
Chen Xu
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Metric Measure Spaces ◽  
Fractional Integral Operators ◽  
Multilinear Fractional Integral ◽  
Measure Spaces

scholarly journals Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jiang Zhou ◽  
Dinghuai Wang
Keyword(s):  
Fractional Integral ◽  
Bounded Operator ◽  
Integral Operators ◽  
Fractional Operator ◽  
Metric Measure Spaces ◽  
Lipschitz Spaces ◽  
Fractional Integral Operators ◽  
Measure Spaces

The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator fromLpμinto the spaceLq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented.

Generalized fractional integral operators on generalized Orlicz–Morrey spaces of the second kind over non-doubling metric measure spaces

2018 ◽  
Vol 25 (2) ◽  
pp. 303-311
Author(s):  
Yoshihiro Sawano ◽  
Tetsu Shimomura
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Integral Transforms ◽  
Morrey Spaces ◽  
Metric Measure Spaces ◽  
Fractional Integral Operators ◽  
Generalized Morrey Spaces ◽  
Measure Spaces ◽  
Generalized Fractional Integral ◽  
Generalized Fractional Integral Operators

Abstract In this paper, we aim to deal with the boundedness and the weak-type boundedness for the generalized fractional integral operators on generalized Orlicz–Morrey spaces of the second kind over non-doubling metric measure spaces, as an extension of [Y. Sawano and T. Shimomura, Boundedness of the generalized fractional integral operators on generalized Morrey spaces over metric measure spaces, Z. Anal. Anwend. 36 2017, 2, 159–190], [Y. Sawano and T. Shimomura, Generalized fractional integral operators over non-doubling metric measure spaces, Integral Transforms Spec. Funct. 28 2017, 7, 534–546] and [I. Sihwaningrum, H. Gunawan and E. Nakai, Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces, Math. Nachr., to appear].

Sign in / Sign up

Export Citation Format

Share Document