Alpert wavelet on the smooth boundary of strictly pseudoconvex domain and its applications
Journal
Collectanea Mathematica
ISSN
0010-0757
2038-4815
Date Issued
2026-04-07
Author(s)
Abstract
Consider a bounded strictly pseudoconvex domain with smooth boundary. In this paper, we establish the higher-order Taylor expansion in terms of the horizontal vector fields via the Folland–Stein approximation of by the Heisenberg group in terms of the vector fields, and then provide an explicit construction of the Alpert wavelet with general higher-order cancellation. These results are of independent interest. As a direct application of this Alpert wavelet, we obtain the characterization of the endpoint Schatten estimate for the commutator of the Cauchy–Szegö projection.
Publisher
Springer Science and Business Media LLC
Type
journal article