Results 71 to 80 of about 431,197 (172)

On Hausdorff content maximal operator and Riesz potential for non-measurable functions

Journal of Inequalities and Applications
We introduce Riesz potentials for Lebesgue non-measurable functions by taking the integrals in the sense of Choquet with respect to Hausdorff content and prove boundedness results for these operators.
Petteri Harjulehto, Ritva Hurri-Syrjänen   +1 more
doaj   +1 more source

Quasilinear Riccati-Type Equations with Oscillatory and Singular Data

Advanced Nonlinear Studies, 2020
We characterize the existence of solutions to the quasilinear Riccati-type ...
Nguyen Quoc-Hung, Phuc Nguyen Cong
doaj   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Rearrangement invariant envelopes of generalized Bessel and Riesz potentials

, 2020
The spaces of generalized Bessel and Riesz potentials in the n-dimensional Euclidean space is studied by constructing them on the basis of rearrangement invariant space (RIS).
Goldman M.L.
core   +2 more sources

Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs

Fractal and Fractional
This paper investigates a new class of fractional integral operators, namely, the exponentially damped Riesz-type operators within the framework of variable exponent Lebesgue spaces Lp(·).
Waqar Afzal, Mujahid Abbas, Jorge E. Macías-Díaz, Armando Gallegos, Yahya Almalki   +4 more
doaj   +1 more source

An L1-type estimate for Riesz potentials

, 2019
In this work we will present a L1-type estimates for the Riesz potentials envolving the Riesz transform. This estimate is an improvement of result due to Stein and Weiss the result of Stein and Weiss that provides Riesz potentials is bounded in Hardy ...
Hoshijima, Raphael Shoji
core  

Asymptotic expansions for Riesz potentials of Airy functions and their products [PDF]

, 2009
Riesz potentials of a function are defined as fractional powers of the Laplacian. Asymptotic expansions for $x\to\pm\infty$ are derived for the Riesz potentials of the Airy function $Ai(x)$ and the Scorer function $Gi(x)$.
Temme, Nico, Temme, N.M. (Nico), Varlamov, V.   +2 more
core   +2 more sources

Numerical Methods for Partial Inverse Spectral Problems with Frozen Arguments on Star-Shaped Graphs

Mathematics
In this paper, the authors investigate a partial inverse spectral problem for Sturm–Liouville operators with frozen arguments on star-shaped graphs. The problem is to reconstruct the potential on one edge from the known potentials on the other edges ...
Chung-Tsun Shieh, Tzong-Mo Tsai, Jyh-Shyang Wu   +2 more
doaj   +1 more source

Riesz potentials and orthogonal radon transforms on affine grassmannians

, 2021
We establish intertwining relations between Riesz potentials associated with fractional powers of minus-Laplacian and orthogonal Radon transforms Rj,k of the Gonzalez-Strichartz type.
Wang, Yingzhan, Rubin, Boris
core   +1 more source

On Non-Isotropic Riesz Potentials

, 1997
In this article some basic properties of non-isotropic Riesz potentials and their continuity in R-n am ...
Cinar, I
core