We study the maximal estimates for the bilinear spherical average and the bilinear Bochner-
Riesz operator. First, we obtain L p× L q→ L r estimates for the bilinear spherical maximal …

We derive sparse bounds for the bilinear spherical maximal function in any dimension d⩾ 1
d\geqslant1. When d⩾ 2 d\geqslant2, this immediately recovers the sharp L p× L q→ L r …

We prove L p (R d)× L q (R d)→ L r (R d) bounds for certain lacunary bilinear maximal
averaging operators with parameters satisfying the Hölder relation 1/p+ 1/q= 1/r. The …

Given a hypersurface S⊂ R 2 d, we study the bilinear averaging operator that averages a
pair of functions over S, as well as more general bilinear multipliers of limited decay and …

THE MULTILINEAR SPHERICAL MAXIMAL FUNCTION IN ONE DIMENSION Page 1
Proceedings of the Edinburgh Mathematical Society: page 1 of 15 doi:10.1017/S0013091524000191 …

We introduce a class of Falconer distance problems, which we call of restricted type, lying
between the classical version and its pinned variant. Prototypical restricted distance sets are …

In this article we focus on $ L^{p} $-improving estimates of two types of multilinear averaging
operators. We also suggest that different $ L^ p $-improving estimates can be obtained by …

In this paper we introduce and study a bilinear spherical maximal function of product type in
the spirit of bilinear Calderón–Zygmund theory. This operator is different from the bilinear …

We establish improved L p estimates for the maximal bilinear Bochner-Riesz means in all
dimensions n≥ 1. This work extends the results proved by Jeong and Lee [11]. We also …

In dimensions $ n\ge 2$ we obtain $ L^{p_1}(\mathbb R^ n)\times\dots\times
L^{p_m}(\mathbb R^ n) $ to $ L^ p (\mathbb R^ n) $ boundedness for the multilinear …