Estimates of perturbation series for kernels

TL;DR

This paper identifies a class of nonnegative Schrödinger perturbations that ensure the perturbed integral kernels remain comparable to the original kernels, aiding in understanding kernel stability under perturbations.

Contribution

It introduces a specific class of Schrödinger perturbations that preserve the comparability of integral kernels in space-time settings.

Findings

Identified a class of perturbations maintaining kernel comparability

Provided conditions under which kernels remain stable

Enhanced understanding of kernel behavior under perturbations

Abstract

For integral kernels on space-time we indicate a class of nonnegative Schr\"odinger perturbations which produce comparable integral kernels.