On slice hyperholomorphic fractional Hardy spaces
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700011
Abstract: In this paper we introduce and study the fractional Hardy spaces of the half space and of the unit ball in the quaternionic setting. In particular, we discuss their properties of invariance and of factorization… read more here.
Keywords: space; fractional hardy; slice hyperholomorphic; hardy spaces ... See more keywords
Fractional Hardy-Sobolev operator with sign-changing and singular nonlinearity
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1585535
Abstract: We study the following fractional equation with Hardy potential and singular nonlinearity where is a bounded domain in with smooth boundary , n>2s, , the sharp constant of the fractional Hardy Sobolev inequality, , with… read more here.
Keywords: sign changing; fractional hardy; hardy sobolev; singular nonlinearity ... See more keywords
Weighted inequalities for fractional Hardy operators and commutators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2108-5
Abstract: In this paper, we introduce a fractional maximal operators Nα$N_{\alpha }$ on (0,∞)$(0,\infty )$ associated to the fractional Hardy operator Pα$P_{\alpha }$ and its dual Qα,0≤α read more here.
Keywords: hardy; operators commutators; inequalities fractional; fractional hardy ... See more keywords