Bilinear Fractional Integral Along Homogeneous Curves
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-016-9511-9
Abstract: The boundedness of the bilinear fractional integrals along homogeneous curves $$\gamma (t)=(t^{\alpha _1},t^{\alpha _2})$$γ(t)=(tα1,tα2) with $$\alpha _2>\alpha _1\ge 1$$α2>α1≥1 is obtained. The authors extend the results of the bilinear fractional integrals of Kenig and Stein… read more here.
Keywords: alpha alpha; homogeneous curves; bilinear fractional; integral along ... See more keywords
A revisit on commutators of linear and bilinear fractional integral operator
Sign Up to like & getrecommendations! Published in 2019 at "Tohoku Mathematical Journal"
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