Boundedness of the wavelet transform in certain function spaces.
Pathak, R.S., Singh, S.K. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Pathak, R.S., Singh, S.K. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Patrizia Pucci, Raffaella Servadei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Adriano Pisante (2006)
Annales de l'I.H.P. Analyse non linéaire
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Jean Van Schaftingen (2006)
Annales de l'I.H.P. Analyse non linéaire
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N. Ghoussoub, X. S. Kang (2004)
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Wei Wei (2014)
Czechoslovak Mathematical Journal
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We give a new representation of solutions to a class of time-dependent Schrödinger type equations via the short-time Fourier transform and the method of characteristics. Moreover, we also establish some novel estimates for oscillatory integrals which are associated with the fractional power of negative Laplacian with . Consequently the classical Hamiltonian corresponding to the previous Schrödinger type equations is studied. As applications, a series of new boundedness results for...