Work

Some Estimates of Schrödinger‐Type Operators with Certain Nonnegative Potentials

Year: 2008

Type: article

Abstract: We consider the Schrödinger‐type operator H = (−Δ)2 + V2, where the nonnegative potential V belongs to the reverse Hölder class for q1 ≥ n/2, n ≥ 5. The Lp estimates of the operator ∇4H−1 related to H are obtained when and 1 < p ≤ q1/2. We also obtain the weak‐type estimates of the operator ∇4H−1 under the same condition of V.

Source: International Journal of Mathematics and Mathematical Sciences

DOI: 10.1155/2008/214030

Authors: Yu Liu, Youzheng Ding

Institutions: University of Science and Technology Beijing, Shandong Jianzhu University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,240

Funder: National Natural Science Foundation of China