Jin-Bong Lee

activity

20212026

most citedOn the trace theorem to Volterra-type equations with local or non-local derivatives

1 citations · 1 across the 9 of their papers we have counts for

collaborators

11 papers

math.CA2026

Sharp $L^{p}$ -- $L^{q}$ bounds for the strong circular maximal operator

Jin Bong Lee, Sanghyuk Lee, Seunghwan Lee +1

We study $L^{p}$ -- $L^{q}$ boundedness of the strong circular maximal operator $\M$, the maximal function over axis-parallel ellipses centered at the origin whose two semiaxes range ind…

math.AP2026

Orthonormal Strichartz estimates over fractal time

Guoxia Feng, Jinbong Lee, Sanghyuk Lee

We study Strichartz estimates for orthonormal families of initial data when time is integrated against an $α$ -dimensional Frostman measure $μ$ , $0 < α \leq 1$ , with coefficients measure…

math.AP2025

Strichartz and local smoothing estimates for the fractional Schrödinger equations over fractal time

Jin Bong Lee, Sanghyuk Lee, Luz Roncal

We obtain Strichartz-type estimates for the fractional Schrödinger operator $f \mapsto e^{i t (- Δ)^{γ /2}} f$ over a time set $E$ of fractal dimension. To obtain those estimates captu…

math.CA2024

Maximal operators given by Fourier multipliers with dilation of fractional dimensions

Jin Bong Lee, Jinsol Seo

In this paper, we investigate $L^{p}$ bounds of maximal Fourier multiplier operators with dilation of fractional dimensions. For Fourier multipliers, we suggest a criterion related t…

math.CA2024

Improved curvature conditions on $L^{2} \times \dots \times L^{2} \to L^{2/ m}$ bounds for multilinear maximal averages

Chuhee Cho, Jin Bong Lee, Kalachand Shuin

In this article, we focus on $L^{2} (R^{d}) \times \dots \times L^{2} (R^{d}) \to L^{2/ m} (R^{d})$ estimates for multilinear maximal averages over non-degene…

math.AP2023★ 1 cited

On the trace theorem to Volterra-type equations with local or non-local derivatives

Jae-Hwan Choi, Jin Bong Lee, Jinsol Seo +1

This paper considers traces at the initial time for solutions of evolution equations with local or non-local derivatives in vector-valued $L_{p}$ spaces with $A_{p}$ weight. To achieve…

math.CA2023

Characterizations of weighted Besov and Triebel-Lizorkin spaces with variable smoothness

Jae-Hwan Choi, Jin Bong Lee, Jinsol Seo +1

In this paper, we study different types of weighted Besov and Triebel-Lizorkin spaces with variable smoothness. The function spaces can be defined by means of the Littlewood-Paley…

math.CA2023

$L^{p}$ improving properties and maximal estimates for certain multilinear averaging operators

Chu-hee Cho, Jin Bong Lee, Kalachand Shuin

In this article we focus on $L^{p}$ estimates for two types of multilinear lacunary maximal averages over hypersurfaces with curvature conditions. Moreover, we give a different pro…

math.CA2022

Maximal operators associated with Fourier multipliers and applications

Jin Bong Lee, Jinsol Seo

In this paper, we introduce a criterion for maximal operators associated with Fourier multipliers to be bounded on $L^{p} (R^{d})$ . Noteworthy examples satisfying the criterion…

math.CA2022

On the boundedness of multilinear Fourier multipliers on Hardy spaces

Jin Bong Lee, Bae Jun Park

In this paper, we study multilinear Fourier multiplier operators on Hardy spaces. In particular, we prove that the multilinear Fourier multiplier operator of Hörmander type is boun…

math.CA2021

Trilinear Fourier multipliers on Hardy spaces