Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces

2016 ◽  
Vol 32 (2) ◽  
pp. 103-121
Author(s):  
Y. Wang and Y. He
Keyword(s):  
Fractional Integrals ◽  
Herz Spaces ◽  
Multilinear Fractional Integrals

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.

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