Sharp power-weight estimates for the fractional spherical maximal operator

@misc{basak2026sharp,
  title = {{Sharp power-weight estimates for the fractional spherical maximal operator}},
  author = {Riju Basak and Surjeet Singh Choudhary and Chun-Yen Shen and Daniel Spector},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13326},
  eprint = {2610.13326},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13326},
}

TY  - UNPB
TI  - Sharp power-weight estimates for the fractional spherical maximal operator
AU  - Riju Basak
AU  - Surjeet Singh Choudhary
AU  - Chun-Yen Shen
AU  - Daniel Spector
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13326
UR  - https://arxiv.org/abs/2610.13326
AB  - For 0≤α<n, let A_*^α denote the fractional spherical maximal operator. In this paper we characterise the range of β for which the L^p−L^q power-weight estimate |A_*^α f|_L^q(|x|^qβ) ≤ C |f|_L^p(|x|^pβ) holds. In the diagonal case p=q, our work gives an affirmative answer to a conjecture of Lee. We prove analogous results for the lacunary fractional spherical maximal operator.
ER  -