scholarly journals Estimates for Commutators of Bilinear Fractional p -Adic Hardy Operator on Herz-Type Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Amjad Hussain ◽  
Naqash Sarfraz ◽  
Ilyas Khan ◽  
Aisha M. Alqahtani
Keyword(s):  
Hardy Operator ◽  
Herz Spaces ◽  
Lipschitz Spaces ◽  
Type Spaces ◽  
Current Article ◽  
Symbol Function

In the current article, we investigate the boundedness of commutators of the bilinear fractional p -adic Hardy operator on p -adic Herz spaces and p -adic Morrey-Herz spaces by considering the symbol function from central bounded mean oscillations and Lipschitz spaces.

scholarly journals Weighted Estimates for Commutator of Rough p -Adic Fractional Hardy Operator on Weighted p -Adic Herz–Morrey Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Naqash Sarfraz ◽  
Doaa Filali ◽  
Amjad Hussain ◽  
Fahd Jarad
Keyword(s):  
Morrey Spaces ◽  
Hardy Operator ◽  
Lipschitz Spaces ◽  
Weighted Estimates ◽  
Type Spaces ◽  
Current Article ◽  
Symbol Function

The current article investigates the boundedness criteria for the commutator of rough p -adic fractional Hardy operator on weighted p -adic Lebesgue and Herz-type spaces with the symbol function from weighted p -adic bounded mean oscillations and weighted p -adic Lipschitz spaces.

scholarly journals Commutators of the Bilinear Hardy Operator on Herz Type Spaces with Variable Exponents

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Shengrong Wang ◽  
Jingshi Xu
Keyword(s):  
Morrey Spaces ◽  
Hardy Operator ◽  
Variable Exponents ◽  
Herz Spaces ◽  
Bmo Functions ◽  
Type Spaces

In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of Herz spaces and Herz-Morrey spaces with variable exponents.

scholarly journals Boundedness of Weighted Hardy Operator and Its Adjoint on Triebel-Lizorkin-Type Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Canqin Tang ◽  
Ruohong Zhou
Keyword(s):  
Weight Function ◽  
Adjoint Operator ◽  
Hardy Operator ◽  
Necessary Condition ◽  
Hausdorff Spaces ◽  
Type Spaces ◽  
Sufficient And Necessary Condition

Letp∈[1,∞],q∈[1,∞),τ∈(0,∞), andα∈(0,1)such thatτ>1/p-1/qandα≤n(1/p-τ), letUψbe the weighted Hardy operator andVψits adjoint operator with respect to the weight functionψ. In this paper, the authors establish a sufficient and necessary condition on weight functionψto ensure the boundedness ofUψandVψon the Triebel-Lizorkin-type spacesḞp,qα,τ(ℝn)and their predual spaces, Triebel-Lizorkin-Hausdorff spaces, which unify and generalize the known results onQ-type spaces.

scholarly journals Average Operators on Rectangular Herz Spaces

2016 ◽  
Vol 65 (1) ◽  
pp. 61-70
Author(s):  
Carolina Espinoza-Villalva ◽  
Martha Guzmán-Partida
Keyword(s):  
Herz Spaces ◽  
Continuity Properties ◽  
Type Spaces

Abstract We introduce a family of Herz type spaces considering rectangles instead of balls and we study continuity properties of some average operators acting on them.

scholarly journals Weighted Multilinear Hardy Operators on Herz Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Shuli Gong ◽  
Zunwei Fu ◽  
Bolin Ma
Keyword(s):  
Weight Function ◽  
Sufficient Condition ◽  
Herz Spaces ◽  
Type Spaces ◽  
Hardy Operators

This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions. Finally, we extend the obtained results to the product Morrey-Herz spaces.

scholarly journals A note on the boundedness of sublinear operators on grand variable Herz spaces

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Hammad Nafis ◽  
Humberto Rafeiro ◽  
Muhammad Asad Zaighum
Keyword(s):  
Herz Spaces ◽  
Sublinear Operators ◽  
Type Spaces

AbstractIn this paper, we introduce grand variable Herz type spaces using discrete grand spaces and prove the boundedness of sublinear operators on these spaces.

scholarly journals Weighted Central BMO Spaces and Their Applications

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Huan Zhao ◽  
Zongguang Liu
Keyword(s):  
Hardy Operator ◽  
Dual Operator ◽  
Herz Spaces ◽  
Lebesgue Spaces ◽  
Weighted Lebesgue Spaces ◽  
Bmo Spaces ◽  
Vector Valued

In this paper, the central BMO spaces with Muckenhoupt A p weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector-valued commutators on weighted Herz spaces is also considered.

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