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
Keyword(s):  
Product Spaces ◽  
Marcinkiewicz Integrals

scholarly journals Parabolic Marcinkiewicz integrals on product spaces and extrapolation

2016 ◽  
Vol 14 (1) ◽  
pp. 649-660 ◽  
Author(s):  
Mohammed Ali ◽  
Mohammed Al-Dolat
Keyword(s):  
Integral Operators ◽  
Marcinkiewicz Integral ◽  
Product Spaces ◽  
Marcinkiewicz Integrals ◽  
Product Domains

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.

Rough Marcinkiewicz integrals with mixed homogeneity on product spaces

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

scholarly journals Rough Marcinkiewicz integrals on product spaces

2007 ◽  
Vol 2 ◽  
pp. 1119-1128 ◽  
Author(s):  
A. Al-Salman
Keyword(s):  
Product Spaces ◽  
Marcinkiewicz Integrals

The Integral Over Product Spaces, and Wiener's Formula

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

scholarly journals Embeddedness, convexity, and rigidity of hypersurfaces in product spaces

2021 ◽  
Author(s):  
Ronaldo Freire de Lima
Keyword(s):  
Product Spaces

scholarly journals Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

2020 ◽  
Vol 53 (1) ◽  
pp. 44-57
Author(s):  
Mohammed Ali ◽  
Qutaibeh Katatbeh
Keyword(s):  
Integral Operators ◽  
Marcinkiewicz Integral ◽  
Rough Kernels ◽  
Marcinkiewicz Integrals ◽  
Natural Extensions ◽  
Parametric Marcinkiewicz Integral ◽  
Weaker Conditions

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.

scholarly journals Fuzzy Inner Product Space: Literature Review and a New Approach

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 765
Author(s):  
Lorena Popa ◽  
Lavinia Sida
Keyword(s):  
Literature Review ◽  
Product Space ◽  
Inner Product Space ◽  
Inner Product ◽  
Product Spaces ◽  
Comprehensive Overview ◽  
New Approach ◽  
Inner Product Spaces ◽  
Product Function ◽  
Suitable Definition

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.

Measurability on Product Spaces

2021 ◽  
pp. 280-294
Keyword(s):  
Product Spaces

The Cech Cohomology of Paracompact Product Spaces

1965 ◽  
Vol 87 (1) ◽  
pp. 71 ◽  
Author(s):  
Ronald C. O'Neill
Keyword(s):  
Product Spaces ◽  
Cech Cohomology
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