H. Koch

activity

20042023

most citedWell-posedness and scattering for the KP-II equation in a critical space

279 citations · 733 across the 42 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CA2015★ 1 cited

Convexity and concavity of the ground state energy

Herbert Koch

This note proves convexity resp. concavity of the ground state energy of one dimensional Schrödinger operators as a function of an endpoint of the interval for convex resp. concave…

math.CA2014

Convolution Estimates for Singular Measures and Some Global Nonlinear Brascamp-Lieb Inequalities

Herbert Koch, Stefan Steinerberger

We give a $L^{2} \times L^{2} \to L^{2}$ convolution estimate for singular measures supported on transversal hypersurfaces in $R^{n}$ , which improves earlier results of Bej…

math.CA2012

Bounded compositions on scaling invariant Besov spaces

Herbert Koch, Pekka Koskela, Eero Saksman +1

For $0 < s < 1 < q < \infty$ , we characterize the homeomorphisms $φ : ℜ^{n} \to ℜ^{n}$ for which the composition operator $f \mapsto f \circ φ$ is bounded on the homogeneous, sc…