caa a22 4500 467989265 CHVBK 20180323112540.0 cr unu---uuuuu 170328e19900601xx s 000 0 eng 10.1007/BF01302933 doi (NATIONALLICENCE)springer-10.1007/BF01302933 Prestini Elena Dipartimento di Matematica, Università di Milano, Via V. Saldini 50, I-20133, Milano, Italy aut Radial functions and regularity of solutions to the Schrödinger equation [Elektronische Daten] [Elena Prestini] Letf be a radial function and setT * f(x)=sup0<t<1 |T t f(x)|, x ∈ ℝn, n≥2, where(Tt f)^ (ξ)=e it|ξ|a $$\hat f$$ (ξ),a > 1. We show that, ifB is the ball centered at the origin, of radius 100, then $$\int\limits_B {|T^ * f(x)|} dx \leqslant c(\int {|\hat f(\xi )|^2 (l + |\xi |^s )ds} )^{1/2} $$ if and only ifs≥1/4. Springer-Verlag, 1990 Monatshefte für Mathematik Springer-Verlag 109/2(1990-06-01), 135-143 0026-9255 109:2<135 1990 109 605 https://doi.org/10.1007/BF01302933 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01302933 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Prestini Elena Dipartimento di Matematica, Università di Milano, Via V. Saldini 50, I-20133, Milano, Italy aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 109/2(1990-06-01), 135-143 0026-9255 109:2<135 1990 109 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 131926128 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer