Abstract
Let be an arbitrary Young function and be a compact set in having (O)-property. Then there exists a constant independent of such that
for all and , where , , is the Fourier transform of and is the Luxemburg norm. As an application, a new Paley–Wiener theorem is given.
Citation
Ha Huy Bang. Vu Nhat Huy. "An improvement of Bernstein’s inequality for functions in Orlicz spaces with smooth Fourier image." Rocky Mountain J. Math. 52 (1) 29 - 42, February 2022. https://doi.org/10.1216/rmj.2022.52.29
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