Batu Güneysu

activity

20122024

most cited

L^{1}

-elliptic regularity and

H = W

on the whole

L^{p}

-scale on arbitrary manifolds

4 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math-ph2024

Asymptotic Equivalence of Identification Operators in Geometric Scattering Theory

Batu Güneysu

Given two measures $μ_{1}$ and $μ_{2}$ on a measurable space $X$ such that $d μ_{2} = ρ_{1, 2} d μ_{1}$ for some bounded measurable function $ρ_{1, 2} : X \to (0, \infty)$ , there exist two natura…

math.DG2023

Locally convex aspects of the Kato and the Dynkin class on manifolds

Batu Güneysu, Kazuhiro Kuwae

We consider the Kato and the Dynkin class and their local counterparts on a smooth Riemannian manifold as Fréchet spaces. Based on recent results by Carron, Mondello and Tewodrose…

math.DG2014

The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds

Batu Güneysu, Stefano Pigola

We introduce the concept of Calderón-Zygmund inequalities on Riemannian manifolds. For $1 < p < \infty$ , these are inequalities of the form $$ \left\Vert \mathrm{Hess}\left( u\right) \…

math.AP2014★ 4 cited

$L^{1}$ -elliptic regularity and $H = W$ on the whole $L^{p}$ -scale on arbitrary manifolds

Davide Guidetti, Batu Güneysu, Diego Pallara

We define abstract Sobolev type spaces on $L^{p}$ -scales, $p \in [1, \infty)$ , on Hermitian vector bundles over possibly noncompact manifolds, which are induced by smooth meas…

math-ph2012

Path integrals and the essential self-adjointness of differential operators on noncompact manifolds

Batu Güneysu, Olaf Post

We consider Schrödinger operators on possibly noncompact Riemannian manifolds, acting on sections in vector bundles, with locally square integrable potentials whose negative part i…