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Bilinear Korányi spherical maximal function on the Heisenberg group
Abstract
We introduce the bilinear Korányi spherical means on the Heisenberg group ℍn, and derive Lp1(ℍn) × Lp2(ℍn) → Lp(ℍn) estimates for the associated bilinear Korányi spherical maximal function on ℍn. We also address multilinear extensions of our results.
Related
- Failure of the H1× H1⟶ L1/2,∞ estimate for the lacunary bilinear spherical maximal function and applications
- Bilinear maximal functions associated with some degenerate surfaces on the Heisenberg group
- Strong-type endpoint obstructions for bilinear spherical maximal operators
- The strong ℓr spherical maximal function
- The strong type endpoint estimate for the local spherical maximal function
BibTeX
@misc{ghosh2026bilinear,
title = {{Bilinear Korányi spherical maximal function on the Heisenberg group}},
author = {Abhishek Ghosh and Rajesh K. Singh},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04549},
eprint = {2611.04549},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04549},
}
RIS
TY - UNPB
TI - Bilinear Korányi spherical maximal function on the Heisenberg group
AU - Abhishek Ghosh
AU - Rajesh K. Singh
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04549
UR - https://arxiv.org/abs/2611.04549
AB - We introduce the bilinear Korányi spherical means on the Heisenberg group ℍ^n, and derive L^p_1(ℍ^n) × L^p_2(ℍ^n) → L^p(ℍ^n) estimates for the associated bilinear Korányi spherical maximal function on ℍ^n. We also address multilinear extensions of our results.
ER -