Results 101 to 110 of about 15,103 (143)

Boundedness of commutators of rough Hardy operators on grand variable Herz spaces

Forum Mathematicum, 2023
The aim of this paper is to obtain the boundedness of commutators of Hardy operators with rough kernels on grand variable Herz spaces K ˙ q ⁢ ( ⋅ ) a ⁢ ( ⋅ ) , u , θ ⁢ ( ℝ n ) {\dot{K}^{a(\,\cdot\,),u,\theta}_{q(\,\cdot\,)}(\mathbb{R}^{n})} by applying ...
B. Sultan, M. Sultan
semanticscholar   +3 more sources

Grand Variable Herz-Morrey Type Besove Spaces and Triebel-Lizorkin Spaces

European Journal of Pure and Applied Mathematics
In the article, the boundedness of vector-valued sublinear operators in grand variable Herz-Morrey spaces $M \dot{K}_{ \lambda, p(\cdot)}^{\eta (\cdot), q), \theta}\left(\mathbb{R}^{n}\right)$ are obtained.
M. Sultan, B. Sultan
semanticscholar   +4 more sources

Grand Herz–Morrey Spaces with Variable Exponent

Mathematical Notes, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Sultan, B. Sultan, A. Hussain
semanticscholar   +2 more sources

Parametrized Littlewood–Paley operators on grand variable Herz spaces

Annals of Functional Analysis, 2022
Let \(\Omega(x)\in L^1 (\mathbb{S}^{n-1})\) be homogeneous of degree zero and satisfy the cancellation condition \[ \int_{\mathbb{S}^{n-1}}\Omega(x^\prime) d\sigma(x^\prime)=0. \] For \(\varrho> 0\), the parametrized area integral \(\mu_{S}^{\varrho}\) and Littlewood-Paley's \(g^{\ast}_{\lambda}\)-function \(\mu_{\lambda}^{\ast,\varrho}\) are defined ...
Liwei Wang
semanticscholar   +3 more sources

The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces

Analysis in Theory and Applications, 2022
Under some natural regularity assumptions on the exponent function, we obtain the boundedness of Marcinkiewicz integrals $\mu,$ $\mu^ρ_S$ and $\mu^{∗,ρ}_λ$ on grand variable Herz spaces. Our results enrich and improve some previous results in the literature.
Danqing Shu
semanticscholar   +3 more sources

Boundedness of Marcinkiewicz integral operators on grand variable Herz–Hardy spaces

Georgian Mathematical Journal
The aim of this paper is to prove the boundedness of Marcinkiewicz integral operators on grand variable Herz–Hardy spaces using the atomic decomposition of grand variable Herz–Hardy spaces already established.
Faiza Shabbir, M. A. Zaighum
semanticscholar   +2 more sources

Sobolev-Type Theorem for Commutators of Hardy Operators in Grand Herz Spaces

Ukrains’kyi Matematychnyi Zhurnal
UDC 517.5 The higher-order commutators of  fractional Hardy-type operators  of variable order ζ ( z ) are shown to be bounded from the  grand variable  Herz spaces K ˙ p ( ⋅ ) a ( ⋅ ) , u ) , θ (
B. Sultan, M. Sultan
semanticscholar   +2 more sources

Boundedness of the Higher Order Commutators of Marcinkiewicz Integral Operator on Grand Variable Herz-Morrey Spaces

International Journal of Analysis and Applications
In this paper, the authors prove the boundedness of higher order commutators of Marcinkiewicz integral operator under some proper assumptions on grand variable Herz-Morrey spaces.
Ghada AlNemer, Ghada Ali Basendwah, M. Sultan, I.-L. Popa   +3 more
semanticscholar   +2 more sources

Boundedness of Parametric Marcinkiewicz Integral Operator on Grand Variable Exponent Herz Spaces

Journal of Mathematical Sciences
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Azka Kainat, Hammad Nafis, M. A. Zaighum
semanticscholar   +3 more sources

Atomic decomposition of anisotropic grand variable weighted Herz spaces and applications

Journal of Pseudo-Differential Operators and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Sultan
semanticscholar   +2 more sources