scholarly journals Some weighted estimates for the commutators of $p$-adic Hardy operator on two weighted $p$-adic Herz-type spaces

2021 ◽  
Vol 6 (9) ◽  
pp. 9633-9646
Author(s):  
Naqash Sarfraz ◽  
◽  
Muhammad Aslam ◽  
Keyword(s):  
Hardy Operator ◽  
Weighted Estimates ◽  
Type 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.

Weighted estimates for integral operators on local BMO type spaces

2015 ◽  
Vol 288 (8-9) ◽  
pp. 905-916 ◽  
Author(s):  
Elida V. Ferreyra ◽  
Guillermo J. Flores
Keyword(s):  
Integral Operators ◽  
Weighted Estimates ◽  
Type 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 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 Some remarks on Vainikko integral operators in BV type spaces

2020 ◽  
Vol 13 (4) ◽  
pp. 555-565
Author(s):  
Laura Angeloni ◽  
Jürgen Appell ◽  
Simon Reinwand
Keyword(s):  
Hilbert Transform ◽  
Integral Operators ◽  
Hardy Operator ◽  
Norm Estimates ◽  
Special Cases ◽  
Type Spaces ◽  
The Hilbert Transform

AbstractIn this paper we study Vainikko integral operators which are similar to so-called cordial integral operators and contain the classical Hardy operator, the Schur operator, and the Hilbert transform as special cases. For such operators we obtain norm estimates and equalities, mainly in BV type spaces in the sense of Jordan, Wiener, Riesz, and Waterman. Several examples are also discussed.

A new class of restricted type spaces

2011 ◽  
Vol 54 (3) ◽  
pp. 749-759
Author(s):  
Salvador Rodríguez-López ◽  
Javier Soria
Keyword(s):  
Banach Space ◽  
Function Space ◽  
Lorentz Space ◽  
Banach Function Space ◽  
Hardy Operator ◽  
Best Constant ◽  
New Class ◽  
Type Spaces ◽  
Restricted Type

AbstractWe find new properties for the space R(X), introduced by Soria in the study of the best constant for the Hardy operator minus the identity. In particular, we characterize when R(X) coincides with the minimal Lorentz space Λ(X). The condition that R(X) ≠ {0} is also described in terms of the embedding (L1, ∞ ∩ L∞) ⊂ X. Finally, we also show the existence of a minimal rearrangement-invariant Banach function space (RIBFS) X among those for which R(X) ≠ {0} (which is the RIBFS envelope of the quasi-Banach space L1, ∞ ∩ L∞).

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