Multilinear fractional integrals on Morrey spaces

2012 ◽  
Vol 28 (7) ◽  
pp. 1375-1384 ◽  
Author(s):  
Takeshi Iida ◽  
Enji Sato ◽  
Yoshihiro Sawano ◽  
Hitoshi Tanaka
Keyword(s):  
Morrey Spaces ◽  
Fractional Integrals ◽  
Multilinear Fractional Integrals

scholarly journals Multilinear Singular and Fractional Integral Operators on Weighted Morrey Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Hua Wang ◽  
Wentan Yi
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Fractional Integrals ◽  
Fractional Integral Operators ◽  
Weighted Morrey Spaces ◽  
Multiple Weights ◽  
Multilinear Fractional Integrals

We will study the boundedness properties of multilinear Calderón-Zygmund operators and multilinear fractional integrals on products of weighted Morrey spaces with multiple weights.

scholarly journals Rough Multilinear Fractional Integrals on Weighted Morrey Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Xiao Li ◽  
Runqing Cui
Keyword(s):  
Morrey Spaces ◽  
Higher Order ◽  
Fractional Integrals ◽  
Fractional Operators ◽  
Rough Kernels ◽  
Weighted Morrey Spaces ◽  
Multilinear Fractional Integrals ◽  
Multilinear Fractional Operators

It is showed that a class of multilinear fractional operators with rough kernels, which are similar to the higher-order commutators for the rough fractional integrals, are bounded on the weighted Morrey spaces.

A note on vanishing Morrey → VMO result for fractional integrals of variable order

2020 ◽  
Vol 23 (1) ◽  
pp. 298-302 ◽  
Author(s):  
Humberto Rafeiro ◽  
Stefan Samko
Keyword(s):  
Morrey Space ◽  
Morrey Spaces ◽  
Fractional Integrals ◽  
Variable Order ◽  
Fractional Operator ◽  
Limiting Case

AbstractIn the limiting case of Sobolev-Adams theorem for Morrey spaces of variable order we prove that the fractional operator of variable order maps the corresponding vanishing Morrey space into VMO.

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