On scales of Sobolev spaces associated to generalized Hardy operators
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02651-0
Abstract: We consider the fractional Laplacian with Hardy potential and study the scale of homogeneous $L^p$ Sobolev spaces generated by this operator. Besides generalized and reversed Hardy inequalities, the analysis relies on a Hormander multiplier theorem… read more here.
Keywords: associated generalized; hardy; spaces associated; scales sobolev ... See more keywords
On Generalized Hardy-Rogers Type α-Admissible Mappings in Cone b-Metric Spaces over Banach Algebras
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12010081
Abstract: We introduce the notion of α -admissibility of mappings on cone b-metric spaces using Banach algebra with coefficient s, and establish a result of the Hardy-Rogers theorem in these spaces. Furthermore, using symmetry, we derive… read more here.
Keywords: generalized hardy; mappings cone; metric spaces; cone metric ... See more keywords