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

Authors

XIAO YU
SHANZHEN LU

DOI

10.3906/mat-1702-79

Abstract

In this paper, we study certain multilinear operators of fractional integral type defined by \[ I^{\vec{A}}_{\alpha}\vec{f}(x)=\int_{% %TCIMACRO{\U{211d} }% %BeginExpansion (\mathbb{R} %EndExpansion ^{n})^m}\frac{f_1(y_1)\cdots f_m(y_m)}{ (x-y_1,\cdots,x-y_m) ^{mn-\alpha+\sum\limits_{i=1}^m(N_i-1)}}\prod\limits_{i=1}^mR_{N_i}(A_i;x,y_i)d\vec{y}, \] where $0< \alpha

Keywords

Olsen-type inequality, multilinear fractional integral, generalized commutator, dyadic grids, Morrey spaces

First Page

2348

Last Page

2370

Recommended Citation

YU, XIAO and LU, SHANZHEN (2018) "Olsen-type inequalities for the generalized commutator of multilinear fractional integrals," Turkish Journal of Mathematics: Vol. 42: No. 5, Article 20. https://doi.org/10.3906/mat-1702-79
Available at: https://journals.tubitak.gov.tr/math/vol42/iss5/20