3 citations · 4 across the 13 of their papers we have counts for
14 papers
Reverse square function estimates for degenerate curves and their applications
Aleksandar Bulj, Kotaro Inami, Shobu Shiraki
Building on the classical work of Córdoba--Fefferman and the recent work of Schippa, we establish reverse square function estimates for functions whose Fourier support is con…
Fourier extension estimates on a strip in
Aleksandar Bulj, Shobu Shiraki
Given a smooth curve with nonzero curvature , let denote the associated Fourier extension operator. For both general compact curves and the parabola, w…
Maximal estimates for orthonormal systems of wave equations with sharp regularity
Hyerim Ko, Sanghyuk Lee, Shobu Shiraki
We study maximal estimates for the wave equation with orthonormal initial data. In dimension , we establish optimal results with the sharp regularity exponent up to the endpoi…
Maximal estimates for orthonormal systems of wave equations
Shinya Kinoshita, Hyerim Ko, Shobu Shiraki
This paper investigates maximal estimates of the wave operators for orthonormal families of initial data. We extend the classical maximal estimates for the wave operator by making…
Inequalities in Fourier analysis on binary cubes
Tonći Crmarić, Vjekoslav Kovač, Shobu Shiraki
This paper studies two classical inequalities, namely the Hausdorff-Young inequality and equal-exponent Young's convolution inequality, for discrete functions supported in the bina…
A note on Strichartz estimates for the wave equation with orthonormal initial data
Neal Bez, Shinya Kinoshita, Shobu Shiraki
This note is concerned with Strichartz estimates for the wave equation and orthonormal families of initial data. We provide a survey of the known results and present what seems to…
Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Neal Bez, Shinya Kinoshita, Shobu Shiraki
We consider maximal estimates associated with fermionic systems. First we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cas…
A note on some variations of the maximal inequality for the fractional Schrödinger equation
Chu-hee Cho, Shobu Shiraki
The purpose of this note is to provide a summary of the recent work of the authors on two variations of the pointwise convergence problem for the solutions to the fractional Schröd…
Dimension of divergence sets of oscillatory integrals with concave phase
Chu-hee Cho, Shobu Shiraki
We study the Hausdorff dimension of the sets on which the pointwise convergence of the solutions to the fractional Schrödinger equation fails when $m\in(0,1)…
Tomographic Fourier Extension Identities for Submanifolds of
Jonathan Bennett, Shohei Nakamura, Shobu Shiraki
We establish identities for the composition , where is the Fourier extension operator associated with a general smooth -dime…
Some sharp null-form type estimates for the Klein--Gordon equation
Jayson Cunanan, Shobu Shiraki
We establish a sharp bilinear estimate for the Klein--Gordon propagator in the spirit of recent work of Beltran--Vega. Our approach is inspired by work in the setting of the wave e…
Pointwise convergence along a tangential curve for the fractional Schrödinger equation
Chu-hee Cho, Shobu Shiraki
In this paper we study the pointwise convergence problem along a tangential curve for the fractional Schrödinger equations in one spatial dimension and estimate the capacitary dime…
A supersolutions perspective on hypercontractivity
Yosuke Aoki, Jonathan Bennett, Neal Bez +3
The purpose of this article is to expose an algebraic closure property of supersolutions to certain diffusion equations. This closure property quickly gives rise to a monotone quan…
Pointwise convergence along restricted directions for the fractional Schrödinger equation
Shobu Shiraki
We consider the pointwise convergence problem for the solution of Schrödinger-type equations along directions determined by a given compact subset of the real line. This problem co…