Weighted Inequalities for Schrödinger Type Singular Integrals
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-018-9626-2
Abstract: AbstractRelated to the Schrödinger operator $$L=-\Delta +V$$L=-Δ+V, the behaviour on $$L^p$$Lp of several first and second order Riesz transforms was studied by Shen (Ann Inst Fourier (Grenoble) 45(2):513–546, 1995). Under his assumptions on V, a… read more here.
Keywords: dinger; singular integrals; inequalities schr; type ... See more keywords
Two weighted inequalities for fractional integrals on Laguerre hypergroup
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2016.1261339
Abstract: ABSTRACT Let be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group, its homogeneous norm and Q its homogeneous dimension. In this paper we prove the two… read more here.
Keywords: integrals laguerre; laguerre hypergroup; inequalities fractional; fractional integrals ... 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