scholarly journals Marcinkiewicz integrals on product spaces

2005 ◽  
Vol 167 (3) ◽  
pp. 227-234 ◽  
Author(s):  
H. Al-Qassem ◽  
A. Al-Salman ◽  
L. C. Cheng ◽  
Y. Pan

2016 ◽  
Vol 14 (1) ◽  
pp. 649-660 ◽  
Author(s):  
Mohammed Ali ◽  
Mohammed Al-Dolat

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



2013 ◽  
Vol 29 (7) ◽  
pp. 1231-1244 ◽  
Author(s):  
Feng Liu ◽  
Huo Xiong Wu


2007 ◽  
Vol 2 ◽  
pp. 1119-1128 ◽  
Author(s):  
A. Al-Salman


1991 ◽  
Vol 17 (1) ◽  
pp. 21
Author(s):  
Henstock
Keyword(s):  




2020 ◽  
Vol 53 (1) ◽  
pp. 44-57
Author(s):  
Mohammed Ali ◽  
Qutaibeh Katatbeh

AbstractIn this article, we study the generalized parabolic parametric Marcinkiewicz integral operators { {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves. Under some weak conditions on the kernels, we establish appropriate estimates of these operators. By the virtue of the obtained estimates along with an extrapolation argument, we give the boundedness of the aforementioned operators from Triebel-Lizorkin spaces to Lp spaces under weaker conditions on Ω and h. Our results represent significant improvements and natural extensions of what was known previously.



Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 765
Author(s):  
Lorena Popa ◽  
Lavinia Sida

The aim of this paper is to provide a suitable definition for the concept of fuzzy inner product space. In order to achieve this, we firstly focused on various approaches from the already-existent literature. Due to the emergence of various studies on fuzzy inner product spaces, it is necessary to make a comprehensive overview of the published papers on the aforementioned subject in order to facilitate subsequent research. Then we considered another approach to the notion of fuzzy inner product starting from P. Majundar and S.K. Samanta’s definition. In fact, we changed their definition and we proved some new properties of the fuzzy inner product function. We also proved that this fuzzy inner product generates a fuzzy norm of the type Nădăban-Dzitac. Finally, some challenges are given.





1965 ◽  
Vol 87 (1) ◽  
pp. 71 ◽  
Author(s):  
Ronald C. O'Neill


Sign in / Sign up

Export Citation Format

Share Document