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PreprintCC BY 4.0arXiv

Maximal velocity estimates for Hardy operators

  • Atsuhide Ishida
  • Konstantin Merz
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Abstract

We prove maximal velocity estimates for the fractional Laplacian with an added subcritical Hardy potential, called Hardy operator, and possibly external potentials. As an application, we give another proof of the nonexistence of the wave operator intertwining Hardy operators with and without long-range perturbations with Coulomb decay.

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Cite

BibTeXRIS
BibTeX
@misc{ishida2026maximal,
  title = {{Maximal velocity estimates for Hardy operators}},
  author = {Atsuhide Ishida and Konstantin Merz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29513},
  eprint = {2610.29513},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29513},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Maximal velocity estimates for Hardy operators
AU  - Atsuhide Ishida
AU  - Konstantin Merz
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29513
UR  - https://arxiv.org/abs/2610.29513
AB  - We prove maximal velocity estimates for the fractional Laplacian with an added subcritical Hardy potential, called Hardy operator, and possibly external potentials. As an application, we give another proof of the nonexistence of the wave operator intertwining Hardy operators with and without long-range perturbations with Coulomb decay.
ER  -