3 papers
math.CA2026
Weak type bounds for oscillatory singular integrals with rough kernels
Yanping Chen, Zhengyang Ji
In their seminal work, F. Ricci and E. M. Stein [Proc. Nat. Acad. Sci. USA 83, 1--3 (1986)] introduced the oscillatory singular integral \[ T_Pf(x)=\mathrm{p.v.}\int_{\mathbb{R}^n}…
math.CA2026
Hausdorff-Choquet Angular Spaces and Weak-Type Bounds for Rough Maximal Operators
Yanping Chen, Zhengyang Ji
In the present paper, we consider the maximal operator \[ \mathcal M_Ωf(x) := \sup_{r>0}\frac{1}{r^n} \int_{|y|<r} |f(x-y)| \left| Ω\!\left(\frac{y}{|y|}\right) \right|\,dy. \] A l…
math.CA2026
On the relationship between block spaces and Orlicz spaces
Yanping Chen, Zhengyang Ji, Teng Wang +1
Let and . Let be an -Ahlfors-regular quasi-metric measure space. Suppose that is the block space which consists of all functions t…