On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces

DOI10.15672/hujms.805157zbMath1503.47058OpenAlexW3188483023MaRDI QIDQ5071970

K. H. Safarova, Rovshan A. Bandaliyev

Publication date: 22 April 2022

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.805157

zbMATH Keywords

weighted Lebesgue spacesmonotone weight functionsHausdorff operators of special kind

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Integral operators (47G10) Operator theory and harmonic analysis (47B90)

Related Items

Grand martingale Hardy spaces for \(0<p \leq 1\) ⋮ Hausdorff operators associated with the Opdam-Cherednik transform in Lebesgue spaces ⋮ A characterization of two-weight norm inequalities for multidimensional Hausdorff operators on Lebesgue spaces ⋮ Hausdorff and Dunkl-Hausdorff operators in Lebesgue spaces for monotone functions and monotone weights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-weight norm inequalities for certain singular integrals
• Best constants for Hausdorff operators on \(n\)-dimensional product spaces
• Hausdorff operators on function spaces
• Some weighted inequalities for Hausdorff operators and commutators
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces
• Multidimensional Hausdorff operators and commutators on Herz-type spaces
• On the absolute Hausdorff summability of a Fourier series
• Reduction theorems for weighted integral inequalities on the cone of monotone functions
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1
• The Hausdorff and the quasi Hausdorff operators on the spaces L^p, 1 ≤ p < ∞
• Some results for Hausdorff operators
• Hausdorff operator in Lebesgue spaces
• Osservazioni sopra una classe di disuguaglianze