Weighted estimates for the laplacian on the cubic lattice

Evgeny L. Korotyaev, Jacob Schach Møller

Research output

Abstract

We consider the discrete Laplacian Δ on the cubic lattice Zd, and deduce estimates on the group eitΔ and the resolvent (Δ−z)−1,weightedbyℓq (Zd)-weights for suitable q≥2. We apply the obtained results to discrete Schrödinger operators in dimension d≥3 with potentials from ℓp(Zd) with suitable p≥1.

Original languageEnglish
Pages (from-to)397-428
Number of pages32
JournalArkiv for Matematik
Volume57
Issue number2
DOIs
Publication statusPublished - 1 Jan 2019

Scopus subject areas

  • Mathematics(all)

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