Dimension-free estimates for positivity-preserving Riesz transforms related to Schrödinger operators with certain potentials
Abstract
We study the L∞(Rd) boundedness for Riesz transforms of the form Va(−12Δ+V)−a, where a>0 and V is a non-negative potential with power growth acting independently on each coordinate. We factorize the semigroup e−tL into one-dimensional factors, estimate them separately and combine the results to estimate the original semigroup. Similar results with the additional assumption a≤1 are obtained on L1(Rd).
Fields of Study & Subjects
Numerical methods in inverse problems
Advanced Mathematical Modeling in Engineering
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Studia Mathematica
- Publisher
- Institute of Mathematics, Polish Academy of Sciences
- Publication date
- 8 June 2026
- Language
- EN