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On weighted estimates involving singular weights for the Dirac equation

  • Seongyeon Kim
  • Ihyeok Seo
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Abstract

We obtain weighted L2 estimates for solutions to the Dirac equation with weights in the Kerman-Sawyer class. This class has been introduced as a necessary and sufficient condition for the boundedness of fractional integral operators in weighted L2 spaces.

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Cite

BibTeXRIS
BibTeX
@misc{kim2026weighted,
  title = {{On weighted estimates involving singular weights for the Dirac equation}},
  author = {Seongyeon Kim and Ihyeok Seo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.27987},
  eprint = {2608.27987},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27987},
}
RIS
TY  - UNPB
TI  - On weighted estimates involving singular weights for the Dirac equation
AU  - Seongyeon Kim
AU  - Ihyeok Seo
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2608.27987
UR  - https://arxiv.org/abs/2608.27987
AB  - We obtain weighted L^2 estimates for solutions to the Dirac equation with weights in the Kerman-Sawyer class. This class has been introduced as a necessary and sufficient condition for the boundedness of fractional integral operators in weighted L^2 spaces.
ER  -