scholarly journals Olsen-type inequalities for the generalized commutator of multilinear fractional integrals

2018 ◽  
Vol 42 (5) ◽  
pp. 2348-2370 ◽  
Author(s):  
Xiao YU ◽  
Shanzhen LU
Keyword(s):  
Fractional Integrals ◽  
Multilinear Fractional Integrals ◽  
Generalized Commutator

scholarly journals Two-Weight Norm Estimates for Multilinear Fractional Integrals in Classical Lebesgue Spaces

2015 ◽  
Vol 18 (5) ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Mieczysław Mastyło ◽  
Alexander Meskhi
Keyword(s):  
Riesz Potential ◽  
Sufficient Conditions ◽  
Type Inequality ◽  
Fractional Integrals ◽  
Potential Operator ◽  
Norm Estimates ◽  
Riesz Potential Operator ◽  
Weight Problems ◽  
Multilinear Fractional Integrals ◽  
Necessary And Sufficient

AbstractWe derive criteria governing two-weight estimates for multilinear fractional integrals and appropriate maximal functions. The two and one weight problems for multi(sub)linear strong fractional maximal operators are also studied; in particular, we derive necessary and sufficient conditions guaranteeing the trace type inequality for this operator. We also establish the Fefferman-Stein type inequality, and obtain one-weight criteria when a weight function is of product type. As a consequence, appropriate results for multilinear Riesz potential operator with product kernels follow.

scholarly journals On multilinear fractional integrals

1992 ◽  
Vol 102 (1) ◽  
pp. 49-56 ◽  
Author(s):  
Loukas Grafakos
Keyword(s):  
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.

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
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