Two Weight Function Norm Inequalities for the Poisson Integral

DOI10.2307/1997133zbMath0311.42008OpenAlexW4246499566MaRDI QIDQ4069221

Benjamin Muckenhoupt

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997133

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inequalities for sums, series and integrals (26D15) Abel, Borel and power series methods (40G10) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items

Weighted norm inequalities for the Dirichlet transform ⋮ On linear means of multiple Fourier integrals defined by special domains. ⋮ Approximation by Haar type polynomials in weighted rearrangement invariant spaces ⋮ Approximation in weighted Orlicz spaces ⋮ On the means of Fourier integrals and Bernstein inequality in the two-weighted setting ⋮ Weighted Inequalities for Convolutions ⋮ On the mean summability by Cesàro method of Fourier trigonometric series in two-weighted setting ⋮ Estimates of \(M\)-harmonic conjugate operator ⋮ Weighted estimates of singular integrals and their applications

Cites Work

• Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• Summability of Fourier Series in L p (dμ)