Cong Chen

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math.CA2025

Estimates for generalized fractional integrals associated with operators on Morrey--Campanato spaces

Cong Chen, Hua Wang

Let $L$ be the infinitesimal generator of an analytic semigroup ${e^{- t L}}_{t > 0}$ satisfying the Gaussian upper bounds. For given $0 < α < n$ , let $\mathca…

math.CA2024

Multilinear fractional maximal and integral operators with homogeneous kernels, Hardy--Littlewood--Sobolev and Olsen-type inequalities

Cong Chen, Kaikai Yang, Hua Wang

Let $m \in N$ and $0 < α < mn$ .In this paper, we will use the idea of Hedberg to reprove that the multilinear operators $T_{Ω, α; m}$ and $M_{Ω, α; m}$ are boun…

math.CA2024

Some new characterizations of BLO and Campanato spaces in the Schrödinger setting

Cong Chen, Hua Wang

Let us consider the Schrödinger operator $L = - Δ + V$ on $R^{d}$ with $d \geq 3$ , where $Δ$ is the Laplacian operator on $R^{d}$ and the nonnegative potential $V$ b…