36 citations · 136 across the 59 of their papers we have counts for
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Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions
Jorge J. Betancor, Alejandro J. Castro, Lourdes Rodríguez-Mesa
In this paper we consider the space of bounded mean oscillations and odd functions on taking values in a UMD Banach space . The functions in $…
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
Jorge J. Betancor, Alejandro J. Castro, Lourdes Rodríguez-Mesa
In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associat…
Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators
Jorge J. Betancor, Alejandro J. Castro, Jezabel Curbelo +1
In this paper we characterize the Banach spaces with the UMD property by means of Lp-boundedness properties for the imaginary powers of the Hermite and Laguerre operators. In order…