Manasa N. Vempati

activity

20202026

most citedA metric approach to sparse domination

12 citations · 13 across the 14 of their papers we have counts for

collaborators

15 papers

math.NT2026

Density Bounds in Hua's Theorem for Prime Squares

Michael T. Lacey, Hamed Mousavi, Yaghoub Rahimi +1

We prove a density version of Hua's theorem in the five-variable case: if $P$ is a subset of the primes with relative lower density greater than $0.82$ , then every suffici…

math.CA2026

Bilinear Bochner-Riesz Means on the Complex Sphere

Sayan Bagchi, Md Nurul Molla, Joydwip Singh +1

In this paper, we establish the boundedness of the bilinear Bochner-Riesz means $B_{R}^{α}$ on the complex sphere $S$ . More precisely, we prove that $\mathcal{B}^α_R…

math.FA2026

Sparse Operators and their boundedness on Morrey-type Spaces: An Expository Note

Manasa N. Vempati

Sparse domination is a central tool in modern harmonic analysis, offering a unified approach to weighted inequalities for Calderón--Zygmund operators and related operators such as…

math.AP2025

On Schrödinger Pseudo-Multipliers and their Commutators

Sayan Bagchi, Riju Basak, Joydwip Singh +1

In this article, we establish the unweighted and weighted $L^{p}$ -boundedness of pseudo-multipliers associated with a class of Schrödinger operators, this generalizes the result of o…

math.FA2024

Commutators of Maximal Operators on Weighted Morrey Spaces

Manasa N. Vempati

In this article we obtain the characterization for the commutators of maximal functions on the weighted Morrey spaces in the setting of spaces of homogeneous type. More precisely,…

math.NT2024

A Density Theorem for Higher Order Sums of Prime Numbers

Michael T. Lacey, Hamed Mousavi, Yaghoub Rahimi +1

Let $P$ be a subset of the primes of lower density strictly larger than $\frac{1}{2}$ . Then, every sufficiently large even integer is a sum of four primes from the set $P$ . We establis…

math.CA2023

A sharp sufficient condition for mobile sampling in terms of surface density

Benjamin Jaye, Mishko Mitkovski, Manasa N. Vempati

We provide the sharp surface density threshold to guarantee mobile sampling in terms of the surface density of the set.

math.CA2022

Even singular integral operators that are well behaved on a purely unrectifiable set

Benjamin Jaye, Manasa N. Vempati

We prove the existence of a $(d - 2)$ -dimensional purely unrectifiable set upon which a family of \emph{even} singular integral operators is bounded.

math.FA2022

Besov Space, Schatten Classes And Commutators Of Riesz Transforms Associated With The Neumann Laplacian

Zhijie Fan, Michael Lacey, Ji Li +2

This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator $Δ_{N}$ on $R^{n}$ . Along the line of singular value esti…

math.CA2022

Compactness of the Bloom sparse operators and applications

Peng Chen, Michael Lacey, Ji Li +1

We establish the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the two weight setting on the spaces of homogeneous type…

math.FA2020★ 1 cited

A note on two weight commutators of maximal functions on spaces of homogeneous type

Ruming Gong, Manasa N. Vempati, Qingyan Wu

We study the two weight quantitative estimates for the commutator of maximal functions and the maximal commutators with respect to the symbol in weighted BMO space on spaces of hom…

math.CA2020

A note on commutators on weighted Morrey spaces on spaces of homogeneous type

Ruming Gong, Ji Li, Elodie Pozzi +1

In this paper we study the boundedness and compactness characterizations of the commutator of Calderón-Zygmund operators $T$ on spaces of homogeneous type $(X, d, μ)$ in the sense of…

math.CA2020★ 12 cited

A metric approach to sparse domination

José M. Conde Alonso, Francesco Di Plinio, Ioannis Parissis +1

We present a general approach to sparse domination based on single-scale $L^{p}$ -improving as a key property. The results are formulated in the setting of metric spaces of homogeneou…

math.CV2020

Boundedness And Compactness Of Cauchy-Type Integral Commutator On Weighted Morrey Spaces

Ruming Gong, Manasa N. Vempati, Qingyan Wu +1

In this paper we study the boundedness and compactness characterizations of the commutator of Cauchy type integrals $C$ on a bounded strongly pseudoconvex domain $D$ in $C…

math.CA2020

A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications

Xuan Thinh Duong, Ji Li, Eric T. Sawyer +3

Let $(X, d, μ)$ be a space of homogeneous type in the sense of Coifman and Weiss, i.e. $d$ is a quasi metric on $X$ and $μ$ is a positive measure satisfying the doubling condition. S…