Boundedness for Higher Order Commutators of Fractional Integrals on Variable Exponent Herz–Morrey Spaces
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DOI: 10.1007/s00009-017-1002-y
Abstract: In this paper, the boundedness for higher order commutators of fractional integrals is obtained on variable exponent Herz–Morrey spaces $$ M\dot{K}_{p, q(\cdot )}^{\alpha (\cdot ), \lambda }(\mathbb {R}^{n})$$MK˙p,q(·)α(·),λ(Rn) applying some properties of variable exponent and… read more here.
Keywords: fractional integrals; higher order; commutators fractional; boundedness higher ... See more keywords
A revisit on commutators of linear and bilinear fractional integral operator
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DOI: 10.2748/tmj/1561082600
Abstract: Let $I_{\alpha}$ be the linear and $\mathcal{I}_{\alpha}$ be the bilinear fractional integral operators. In the linear setting, it is known that the two-weight inequality holds for the first order commutators of $I_{\alpha}$. But the method… read more here.
Keywords: commutators alpha; order; order commutators; bilinear fractional ... See more keywords