On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
Sign Up to like & getrecommendations! Published in 2019 at "Forum Mathematicum"
DOI: 10.1515/forum-2019-0097
Abstract: Abstract Hausdorff operators originated from some classical summation methods. Now this is an active research field. In the present article, a spectral representation for multidimensional normal Hausdorff operator is given. We show that normal Hausdorff… read more here.
Keywords: hausdorff operator; hausdorff operators; hausdorff; multidimensional normal ... See more keywords
Some results for the commutators of generalized Hausdorff operator
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2019-13-80
Abstract: In this paper, we study commutator of generalized Hausdorff operator on function spaces. We mainly discuss the continuity criteria for such commutator operator when the symbol functions are either from central-$BMO$ or Lipschitz class of… read more here.
Keywords: commutators generalized; hausdorff operator; generalized hausdorff; results commutators ... See more keywords