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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.AP2018
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…