3 papers
math.CA2025
Weighted inequalities for variation operators associated with fractional Schrödinger semigroups
Yanhan Chen
Let be the fractional Schrödinger semigroup associated with , where is a non-negatvie potential belonging to the reverse Hölder class. In this…
math.CA2025
Characterization of infinitesimal boundedness of Schrödinger operator
Yanhan Chen
In this paper, we characterize the weighted infinitesimal boundedness: for and , $$\|VÏ\|_{L^{p}(w)}^{p}\leqε\|(-Î)^{\fracα{2}}Ï\|_{L^{p}(w)}^{p}+C(ε)\|Ï…
math.CA2024
Weighted Weak-type Inequalities For Fractionally Sparsely Dominated Operators
Yanhan Chen
In this paper, we establish quantitative weak type estimates for operators that are dominated by (fractional) sparse operators in bilinear sense. Specifically, we derive bounds for…