Solutions to the fractional Schrödinger equation on the Heisenberg group satisfy time-dependent Hardy space bounds via sub-Laplacian Fourier multipliers, and Bessel potential spaces correspond to Sobolev spaces on this group.
Endpoint bounds for an analytic family of Hilbert transforms
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Regularity of fractional Schr\"odinger equations and sub-Laplacian multipliers on the Heisenberg group
Solutions to the fractional Schrödinger equation on the Heisenberg group satisfy time-dependent Hardy space bounds via sub-Laplacian Fourier multipliers, and Bessel potential spaces correspond to Sobolev spaces on this group.