arXiv subjects

Shahla Molahajloo

Publications and source records attributed to Shahla Molahajloo.

2 recordsLinked to original sources

arXiv2015

Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces

We introduce new classes of modulation spaces over phase space. By means of the Kohn-Nirenberg correspondence, these spaces induce norms on pseudo-differential operators that bound their operator norms on $L^p$-spaces, Sobolev spaces, and modulation spaces.

math.FA↗

arXiv2015

Boundedness of multilinear pseudo-differential operators on modulation spaces

Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the operators' symbols. The flexibility and strength of the introduced methods is demonstrated by their application to the bilinear and trilinear Hilbert transform.

math.FA↗