PreprintCC BY 4.0arXiv
Holomorphic calculus on Lp(ℓq) I: optimal angles
Abstract
Let L generate a symmetric contraction semigroup. We prove a holomorphic Hörmander calculus on Lp(X;ℓq) at the optimal angle max{arcsin|1−2/p|,arcsin|1−2/q|}, with boundary Sobolev order s>3.
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BibTeX
@misc{he2026holomorphic,
title = {{Holomorphic calculus on $L^p(\ell^q)$ I: optimal angles}},
author = {Dangyang He},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07430},
eprint = {2611.07430},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07430},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Holomorphic calculus on L^p(ℓ^q) I: optimal angles
AU - Dangyang He
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07430
UR - https://arxiv.org/abs/2611.07430
AB - Let L generate a symmetric contraction semigroup. We prove a holomorphic Hörmander calculus on L^p(X;ℓ^q) at the optimal angle max{arcsin|1−2/p|,arcsin|1−2/q|}, with boundary Sobolev order s>3.
ER -