Cover Image

$L^{p}$-integrability of functions with Fourier supports on fractal sets on the moment curve

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Duan, Shengze, Pham, Minh-Quy, Ryou, Donggeun
Format:	Preprint
Published:	2024
Subjects:	Classical Analysis and ODEs primary: 42B10, secondary: 42B20, 28A75
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Obtaining the Fourier spectrum via Fourier coefficients
by: Carnovale, Marc, et al.
Published: (2024)

On Hausdorff dimensions of $k$-point configuration sets and Elekes-Rónyai type theorems
by: Pham, Minh-Quy
Published: (2026)

An improved $L^2$ restriction theorem in finite fields
by: Fraser, Jonathan M., et al.
Published: (2025)

$L^2$ restriction estimates from the Fourier spectrum
by: Carnovale, Marc, et al.
Published: (2024)

Multiple convolutions and multilinear fractal Fourier extension estimates
by: Oliveira, Itamar, et al.
Published: (2026)

Fourier decay of product measures
by: Fraser, Jonathan M.
Published: (2024)

Sharpness of convolution bounds for measures
by: Lee, Sanghyuk, et al.
Published: (2026)

Endpoint estimates for the fractal circular maximal function and related local smoothing
by: Lee, Sanghyuk, et al.
Published: (2025)

A Fourier analytic approach to exceptional set estimates for orthogonal projections
by: Fraser, Jonathan M., et al.
Published: (2024)

$L^p$ averages of the discrete Fourier transform and applications
by: Fraser, Jonathan M., et al.
Published: (2025)

On Falconer type functions and the distance set problem
by: Pham, Minh-Quy
Published: (2025)

Applications of dimension interpolation to orthogonal projections
by: Fraser, Jonathan M.
Published: (2025)

Fourier restriction for the additive Brownian sheet
by: Fraser, Jonathan M., et al.
Published: (2026)

Endpoint eigenfunction bounds for the Hermite operator
by: Jeong, Eunhee, et al.
Published: (2022)

Existence of principal values of some singular integrals on Cantor sets, and Hausdorff dimension
by: Cufí, J., et al.
Published: (2023)

The Fourier spectrum and sumset type problems
by: Fraser, Jonathan M.
Published: (2022)

Nikodym sets and maximal functions associated with spheres
by: Chang, Alan, et al.
Published: (2022)

New characterizations of Muckenhoupt $A_p$ distance weights for $p>1$
by: Vargas, Ignacio Gómez
Published: (2025)

Some Intrinsic Characterizations of Besov-Triebel-Lizorkin-Morrey-type Spaces on Lipschitz Domains
by: Yao, Liding
Published: (2021)

Power Laws for the Favard Length Problem in $\mathbb{R}^d$
by: Marshall, Caleb
Published: (2025)

Incidences among flows
by: Huang, Kaiyi, et al.
Published: (2025)

On new identities involving zeros of Bessel functions
by: Langowski, Bartosz, et al.
Published: (2024)

Weakly porous sets and Muckenhoupt $A_p$ distance functions
by: Anderson, Theresa C., et al.
Published: (2022)

Exceptional projections in finite fields: Fourier analytic bounds and incidence geometry
by: Fraser, Jonathan M., et al.
Published: (2025)

Quantitative Besicovitch projection theorem for irregular sets of directions
by: Dąbrowski, Damian
Published: (2022)

Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation
by: Pang, Yixuan, et al.
Published: (2026)

A linear operator bounded in all Besov but not in Triebel-Lizorkin spaces
by: Yao, Liding
Published: (2024)

Spherical maximal operators with fractal sets of dilations on radial functions
by: Beltran, David, et al.
Published: (2024)

Riesz transforms and the BAUPP and BWGL criteria for uniform rectifiability
by: Tolsa, Xavier
Published: (2025)

A Vitali-type lemma for the boundary
by: Weigt, Julian
Published: (2025)

Parabolic weak porosity and parabolic Muckenhoupt distance functions
by: Lahdelma, Henri, et al.
Published: (2026)

On sharp heat kernel estimates in the context of Fourier-Dini expansions
by: Langowski, Bartosz, et al.
Published: (2024)

Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions
by: Fraser, Robert, et al.
Published: (2025)

Strong exceptional parameters for the dimension of nonlinear slices
by: Bushling, Ryan E. G.
Published: (2025)

Solvability of the $L^p$ Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in the case of a parabolic Lipschitz graph
by: Bortz, Simon, et al.
Published: (2023)

Uniform Fourier restriction for convex curves
by: Fraccaroli, Marco
Published: (2021)

Bilinear spherical maximal function with fractal dilations
by: Choudhary, Surjeet Singh, et al.
Published: (2025)

Problems on spherical maximal functions
by: Roos, Joris, et al.
Published: (2025)

Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains
by: Hofmann, Steve, et al.
Published: (2019)

Weakly porous sets and $A_1$ Muckenhoupt weights in spaces of homogeneous type
by: Aimar, Hugo, et al.
Published: (2024)