J. Curbelo
Hankel Multipliers of Laplace Transform Type.
Tue, 03/02/2010 - 16:01 — SomNambulAuthors: J. J. Betancor, A. J. Castro, J. Curbelo
Subjects: Classical Analysis and ODEs
AbstractIn this paper we prove that the Hankel multipliers of Laplace transform type
on $(0,1)^n$ are of weak type (1,1). Also we analyze Lp-boundedness properties
for the imaginary powers of Bessel operator on $(0,1)^n$.Harmonic Analysis Operators Associated with Multidimensional Bessel Operators.
Tue, 03/02/2010 - 16:01 — SomNambulAuthors: J. J. Betancor, A. J. Castro, J. Curbelo
Subjects: Classical Analysis and ODEs
AbstractIn this paper we establish that the maximal operator and the Littlewood-Paley
g-function associated with the heat semigroup defined by multidimensional
Bessel operators are of weak type (1,1). Also, we prove that Riesz transforms
in the multidimensional Bessel setting are of strong type (p,p), for every
$1<p<\infty$, and of weak type (1,1).
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