Discrete Hardy's type inequalities and structure of discrete class of weights satisfy reverse Hölder's inequality

DOI10.7153/mia-2021-24-36zbMath1468.26021OpenAlexW3157626426MaRDI QIDQ4991591

No author found.

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-36

zbMATH Keywords

Hardy-type inequalityself-improving propertiesdiscrete Muckenhoupt classhigher summabilitydiscrete Gehring class

Mathematics Subject Classification ID

Inclusion and equivalence theorems in summability theory (40D25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities for sums, series and integrals (26D15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Summability and bases in topological vector spaces (46A35) Summability methods on groups, semigroups, etc. (43A55)

Related Items (2)

Discrete Opial type inequalities for interval-valued functions ⋮ Boundedness of both discrete Hardy and Hardy-Littlewood maximal operators via Muckenhoupt weights

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Endpoint regularity of discrete multisublinear fractional maximal operators associated with \(\ell^1\)-balls
• Weighted Hardy inequalities for decreasing sequences and functions
• Weighted Hardy spaces
• The exact continuation of a reverse Hölder inequality and Muckenhoupt's conditions
• Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's \((A_p)\) condition
• Discrete analogues in harmonic analysis: spherical averages
• On exact inclusions of Gehring classes in Muckenhoupt classes
• Self-improving properties of discrete Muckenhoupt weights
• Properties of a generalized class of weights satisfying reverse Hölder's inequality
• On structure of discrete Muckenhoupt and discrete Gehring classes
• Limits of the \(A_p\) constants
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• The \(L^p\)-solvability of the Dirichlet problem for planar elliptic equations, sharp results
• Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes
• SHARP INEQUALITIES FOR THE VARIATION OF THE DISCRETE MAXIMAL FUNCTION
• A Characterization of the Dual of the Classical Lorentz Sequence Space d(w, q)
• The weighted discrete Gehring classes, Muckenhoupt classes and their basic properties
• Higher Summability and Discrete Weighted Muckenhoupt and Gehring Type Inequalities
• On a discrete version of Tanaka’s theorem for maximal functions
• Weighted Norm Inequalities for the Hardy Maximal Function
• The 𝐿^{𝑝}-integrability of the partial derivatives of a quasiconformal mapping
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

This page was built for publication: Discrete Hardy's type inequalities and structure of discrete class of weights satisfy reverse Hölder's inequality