Parabolic Marcinkiewicz integrals on product spaces and extrapolation

• Autorzy: Mohammed Ali , Mohammed Al-Dolat
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the the parabolic Marcinkiewicz integral [...] MΩ,hρ1,ρ2 ${\cal M}_{\Omega, h}^{{\rho _{1,}}{\rho _2}}$ 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.

Słowa kluczowe

EN

Lp boundedness; Parabolic Marcinklewicz integrals; Rough kernels; Product spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 649-660

Daty

wydano

2016-01-01

otrzymano

2016-03-27

zaakceptowano

2016-08-25

online

2016-09-26

Twórcy

autor

Mohammed Ali

• Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid,

autor

Mohammed Al-Dolat

• Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid,

Identyfikatory

DOI

10.1515/math-2016-0061