Weighted Triebel-Lizorkin and Herz spaces estimates for p-adic Hausdorff type operator and its applications

DOI10.1007/s10476-022-0129-7OpenAlexW4223442854MaRDI QIDQ2166136

N. D. Duvet, Kieu Huu Dung, Dao Van Duong

Publication date: 23 August 2022

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-022-0129-7

zbMATH Keywords

Triebel-Lizorkin spaceHilbert operatorHausdorff operator\(p\)-adic analysisHerz spaceHardy-Cesaro operator

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) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)

Related Items (2)

Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces ⋮ Commutators of Hardy-Littlewood operators on \(p\)-adic function spaces with variable exponents

Cites Work

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• The \(p\)-adic weighted Hardy-Cesàro operators on weighted Morrey-Herz space
• Bounds for the weighted Hardy-Cesàro operator and its commutator on Morrey-Herz type spaces
• Hausdorff operators on \(p\)-adic linear spaces and their properties in Hardy, \(BMO\), and Hölder spaces
• Weighted Hardy-Littlewood operators and commutators on \(p\)-adic functional spaces
• Radial solutions of non-Archimedean pseudodifferential equations
• Hausdorff operators on the power weighted Hardy spaces
• Path integrals for a class of \(p\)-adic Schrödinger equations
• Maximal functions and weighted norm inequalities on local fields
• Estimates of weighted Hardy--Littlewood averages on the \(p\)-adic vector space
• On \(p\)-adic mathematical physics
• Riesz potentials and explicit sums in arithmetic
• p-adic quantum mechanics
• Multidimensional Hausdorff operator on \(p\)-adic field
• Hausdorff operator of special kind on \(p\)-adic field and \(BMO\)-type spaces
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• The decomposition of Herz spaces on local fields and its applications
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Weighted Lebesgue and central Morrey estimates for \(p\)-adic multilinear Hausdorff operators and their commutators
• Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators
• Hausdorff operator and commutator on weighted Morrey-Herz spaces on \(p\)-adic fields
• A visual formalism for weights satisfying reverse inequalities
• Hausdorff operator on weighted Lebesgue and grand Lebesgue \(p\)-adic spaces
• Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces
• Some estimates for \(p\)-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces
• Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems
• Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics
• Convolutions and general transforms on \(L^ p\)
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1
• ON A <i>P</i>-ADIC HILBERT-TYPE INTEGRAL OPERATOR AND ITS APPLICATIONS
• Multilinear Hausdorff operator on variable exponent Morrey–Herz type spaces
• Multidimensional Hausdorff operators on the real Hardy space
• Weighted Norm Inequalities for the Hardy Maximal Function

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