The fractional S-transform on BMO and Hardy spaces

arXiv1512.05385MaRDI QIDQ6268477

Sunil Kumar Singh, Baby Kalita

Publication date: 11 December 2015

Abstract: In this paper, the authors studied the fractional S-transform on BMO and Hardy spaces and generalized the results given in cite{Singh15h}. In introduction section, the definitions of the S-transform, fractional Fourier transform and fractional S-transform are given. In Section 2 continuity and boundedness results for the fractional S-transform in BMO and Hardy spaces are obtained. Furthermore, in Section 3 the fractional S-transform is studied on the weighted BMO${}_{kappa}$ and weighted Hardy spaces associated with a tempered weight function.

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