Work

On sharp heat kernel estimates in the context of Fourier–Dini expansions

Year: 2024

Type: article

Abstract: We prove sharp estimates of the heat kernel associated with Fourier–Dini expansions on ( 0 , 1 ) equipped with Lebesgue measure and the Neumann condition imposed on the right endpoint. Then we give several applications of this result including sharp bounds for the corresponding Poisson and potential kernels, sharp mapping properties of the maximal heat semigroup and potential operators and boundary convergence of the Fourier–Dini semigroup.

Source: Journal of Approximation Theory

DOI: 10.1016/j.jat.2024.106103

Authors: Bartosz Langowski, Adam Nowak

Institutions: Franciscan University of Steubenville, Institute of Mathematics, Polish Academy of Sciences

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,830

OpenAlex ID: W4402945576

FWCI:

Cites: 24

Cited by:

Related to: 10