Projects per year
Abstract
Let [Formula presented] be the generalized degenerate Schrödinger operator in Lw2(Rd) with d ≥ 3 with suitable weight w and measure μ. The main aim of this paper is threefold. Firstly, we obtain an upper bound for the fundamental solution of the operator L. Secondly, we prove some estimates for the heat kernel of L including an upper bound, the Hölder continuity and a comparison estimate. Finally, we apply the results to study the maximal function characterization for the Hardy spaces associated to the critical function generated by the operator L.
Original language | English |
---|---|
Article number | 108785 |
Pages (from-to) | 1-49 |
Number of pages | 49 |
Journal | Journal of Functional Analysis |
Volume | 280 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2021 |
Keywords
- Generalized degenerate Schrödinger operator
- Fundamental solution
- Heat kernel
- Hardy space
Fingerprint
Dive into the research topics of 'Heat kernels of generalized degenerate Schrödinger operators and Hardy spaces'. Together they form a unique fingerprint.Projects
- 1 Active
-
Harmonic analysis and dispersive partial differential equations
Li, J., Guo, Z., Kenig, C. & Nakanishi, K.
31/01/17 → …
Project: Research