Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces

In this paper, we establish an anisotropic version of Campanato Theorem and show that the anisotropic Bessel spaces are continuously embedded in the spaces of Holder continuous functions. As an application of this embedding, we build fundamental solutions for a class of anisotropic fractional Laplacian operators.

Publication Details

Journal
ArXiv.org
Published
2025-05-25
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces

ArXiv.org
Nonlinear Differential Equations Analysis
article

Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces

article en

Abstract

In this paper, we establish an anisotropic version of Campanato Theorem and show that the anisotropic Bessel spaces are continuously embedded in the spaces of Holder continuous functions. As an application of this embedding, we build fundamental solutions for a class of anisotropic fractional Laplacian operators.

ArXiv.org
Openalex Percentile: Top 39%
Nonlinear Differential Equations Analysis
Open Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces · ArXiv.org (2025) | TGRS Research Map | TGRS