Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
Tom 197 / 2010
Studia Mathematica 197 (2010), 101-140
MSC: Primary 42C05; Secondary 42C20.
DOI: 10.4064/sm197-2-1
Streszczenie
We obtain sharp power-weighted $L^p$, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood–Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.