MMN-1308
Parametric Marcinkiewicz integrals on weighted Herz Spaces
Abstract
Let $0<\rho<n$ and $\mu_\Omega^\rho$ be the parametric Marcinkiewicz integral. In this paper we shall obtain the strong type and weak type estimates of $\mu_\Omega^\rho$ on the weighted Herz spaces $\dot{K}_q^{\alpha,p}(\omega_1,\omega_2)$
with general weights. The boundedness of the commutators generated by $BMO$ functions and parametric Marcinkiewicz integral is also obtained.
Vol. 16 (2015), No. 2, pp. 869-885
DOI: 10.18514/MMN.2015.1308