Regularity of harmonic functions for anisotropic fractional Laplacians

Article Properties
Abstract
Cite
Sztonyk, Paweł. “Regularity of Harmonic Functions for Anisotropic Fractional Laplacians”. Mathematische Nachrichten, vol. 283, no. 2, 2010, pp. 289-11, https://doi.org/10.1002/mana.200711116.
Sztonyk, P. (2010). Regularity of harmonic functions for anisotropic fractional Laplacians. Mathematische Nachrichten, 283(2), 289-311. https://doi.org/10.1002/mana.200711116
Sztonyk P. Regularity of harmonic functions for anisotropic fractional Laplacians. Mathematische Nachrichten. 2010;283(2):289-311.
Journal Category
Science
Mathematics
You May Also Like
Refrences
Title Journal Journal Categories Citations Publication Date
Estimates and structure of α-harmonic functions Probability Theory and Related Fields
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 57 2008
Sharp estimates of the Green function, the Poisson kernel and the Martin kernel of cones for symmetric stable processes Hiroshima Mathematical Journal
  • Science: Mathematics
 10 2006
Potential theory for Lévy stable processes 2002
On harmonic measures for Lévy processes Probability and Mathematical Statistics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
 2000
Point regularity of p ‐stable density in Rd and Fisher information 1999
Citations
Title Journal Journal Categories Citations Publication Date
$$L_{p}$$-Estimates for Solutions of Equations Governed by Operators like the Anisotropic Fractional Laplacian Bulletin of the Brazilian Mathematical Society, New Series
  • Science: Mathematics
 2023
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols Journal of Differential Equations
  • Science: Mathematics
 3 2022
Interior Schauder Estimates for Elliptic Equations Associated with Lévy Operators

 Potential Analysis
  • Science: Mathematics
 1 2021
Uniform pointwise asymptotics of solutions to quasi-geostrophic equation Nonlinearity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
 1 2020
Schauder Estimates for Equations Associated with Lévy Generators Integral Equations and Operator Theory
  • Science: Mathematics
 9 2019
Citations Analysis
Category Category Repetition
Science: Mathematics22
Science: Mathematics: Probabilities. Mathematical statistics7
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods5
Technology: Engineering (General). Civil engineering (General)1
The category Science: Mathematics 22 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Regularity results for stable-like operators and was published in 2009. The most recent citation comes from a 2023 study titled $$L_{p}$$-Estimates for Solutions of Equations Governed by Operators like the Anisotropic Fractional Laplacian. This article reached its peak citation in 2018, with 3 citations. It has been cited in 18 different journals. Among related journals, the Journal of Differential Equations cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year