Hypercyclicity of shifts on weighted Lp spaces of directed trees
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.08.066
Abstract: Abstract In this paper, we study the hypercyclicity of forward and backward shifts on weighted L p spaces of a directed tree. In the forward case, only the trivial trees may support hypercyclic shifts, in… read more here.
Keywords: spaces directed; hypercyclicity; case; shifts weighted ... See more keywords
Solvability of the inhomogeneous Cauchy–Riemann equation in projective weighted spaces
Sign Up to like & getrecommendations! Published in 2017 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446617010189
Abstract: We establish an analog of Hörmander’s Theorem on solvability of the inhomogeneous Cauchy–Riemann equation for a space of measurable functions satisfying a system of uniform estimates. The result is formulated in terms of the weight… read more here.
Keywords: riemann equation; cauchy riemann; solvability inhomogeneous; inhomogeneous cauchy ... See more keywords
The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
Sign Up to like & getrecommendations! Published in 2018 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2018-0034
Abstract: Abstract We prove boundedness results for integral operators of fractional type and their higher order commutators between weighted spaces, including Lp-Lq, Lp-BMO and Lp-Lipschitz estimates. The kernels of such operators satisfy certain size condition and… read more here.
Keywords: effect smoothness; type operators; type; weighted spaces ... See more keywords