Parabolic Marcinkiewicz integrals on product spaces and extrapolation

Mohammed Ali, and Mohammed Al-Dolat. "Parabolic Marcinkiewicz integrals on product spaces and extrapolation." Open Mathematics 14.1 (2016): 649-660. <http://eudml.org/doc/286764>.

@article{MohammedAli2016,
abstract = {In this paper, we study the the parabolic Marcinkiewicz integral [...] MΩ,hρ1,ρ2 $\{\mathcal \{M\}\}_\{\Omega , h\}^\{\{\rho _\{1,\}\}\{\rho _2\}\}$ on product domains Rn × Rm (n, m ≥ 2). Lp estimates of such operators are obtained under weak conditions on the kernels. These estimates allow us to use an extrapolation argument to obtain some new and improved results on parabolic Marcinkiewicz integral operators.},
author = {Mohammed Ali, Mohammed Al-Dolat},
journal = {Open Mathematics},
keywords = {Lp boundedness; Parabolic Marcinklewicz integrals; Rough kernels; Product spaces; boundedness; parabolic Marcinkiewicz integrals; rough kernels; product spaces},
language = {eng},
number = {1},
pages = {649-660},
title = {Parabolic Marcinkiewicz integrals on product spaces and extrapolation},
url = {http://eudml.org/doc/286764},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Mohammed Ali
AU - Mohammed Al-Dolat
TI - Parabolic Marcinkiewicz integrals on product spaces and extrapolation
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 649
EP - 660
AB - In this paper, we study the the parabolic Marcinkiewicz integral [...] MΩ,hρ1,ρ2 ${\mathcal {M}}_{\Omega , h}^{{\rho _{1,}}{\rho _2}}$ on product domains Rn × Rm (n, m ≥ 2). Lp estimates of such operators are obtained under weak conditions on the kernels. These estimates allow us to use an extrapolation argument to obtain some new and improved results on parabolic Marcinkiewicz integral operators.
LA - eng
KW - Lp boundedness; Parabolic Marcinklewicz integrals; Rough kernels; Product spaces; boundedness; parabolic Marcinkiewicz integrals; rough kernels; product spaces
UR - http://eudml.org/doc/286764
ER -