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20182023
most citedLocal and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces

16 citations · 34 across the 5 of their papers we have counts for

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math.AP2023

Regularity of oscillatory integral operators

Anders Israelsson, Tobias Mattsson, Wolfgang Staubach

In this paper, we establish the global boundedness of oscillatory integral operators on Besov-Lipschitz and Triebel-Lizorkin spaces, with amplitudes in general $S^m_{ρ,δ}(\mathbb{R…

math.AP2023

Boundedness of Fourier integral operators on classical function spaces

Anders Israelsson, Tobias Mattsson, Wolfgang Staubach

We investigate the global boundedness of Fourier integral operators with amplitudes in the general Hörmander classes , and non-degenerat…

math.AP2020★ 15 cited

Regularity of Fourier integral operators with amplitudes in general Hörmander classes

Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach

We prove the global -boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hörmande…

math.AP2019★ 3 cited

Regularity properties of Schrödinger integral operators and general oscillatory integrals

Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach +1

We introduce the notion of Schrödinger integral operators and prove sharp local and global regularity results for these (including propagators for the quantum mechanical harmonic o…

math.AP2018★ 16 cited

Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces

Anders Israelsson, Salvador Rodriguez-Lopez, Wolfgang Staubach

In this paper we establish optimal local and global Besov-Lipschitz and Triebel-Lizorkin estimates for the solutions to linear hyperbolic partial differential equations. These esti…