English

Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces

Analysis of PDEs 2025-05-27 v1

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.

Keywords

Cite

@article{arxiv.2505.19289,
  title  = {Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces},
  author = {H. Hajaiej and R. Leitao},
  journal= {arXiv preprint arXiv:2505.19289},
  year   = {2025}
}

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