caa a22 4500 445869070 CHVBK 20180317145506.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00605-010-0210-3 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0210-3 Sharp continuity results for the short-time Fourier transform and for localization operators [Elektronische Daten] [Elena Cordero, Fabio Nicola] We completely characterize the boundedness on Wiener amalgam spaces of the short-time Fourier transform (STFT), and on both L p and Wiener amalgam spaces of a special class of pseudodifferential operators, called localization operators. Precisely, sufficient conditions for the STFT to be bounded on the Wiener amalgam spaces W(L p, L q) are given and their sharpness is shown. Localization operators are treated similarly: using different techniques from those employed in the literature, we relax the known sufficient boundedness conditions for these operators to be bounded on L p spaces and prove the optimality of our results. Next, we exhibit sufficient and necessary conditions for such operators to be bounded on Wiener amalgam spaces. Springer-Verlag, 2010 Short-time Fourier transform nationallicence Modulation spaces nationallicence Wiener amalgam spaces nationallicence Localization operators nationallicence Cordero Elena Department of Mathematics, University of Torino, Via Carlo Alberto 10, 10123, Turin, Italy aut Nicola Fabio Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy aut Monatshefte für Mathematik Springer Vienna 162/3(2011-03-01), 251-276 0026-9255 162:3<251 2011 162 605 https://doi.org/10.1007/s00605-010-0210-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0210-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cordero Elena Department of Mathematics, University of Torino, Via Carlo Alberto 10, 10123, Turin, Italy aut NATIONALLICENCE 700 1- Nicola Fabio Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Turin, Italy aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 162/3(2011-03-01), 251-276 0026-9255 162:3<251 2011 162 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer