Square-like functions generated by a composite wavelet transform

DOI10.1007/S00009-010-0084-6zbMath1232.42028OpenAlexW2023528772MaRDI QIDQ662631

Ilham A. Aliev, Simten Bayrakçı

Publication date: 24 February 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0084-6

zbMATH Keywords

convolutionsemigroupwavelet transformsquare functionsCalderón reproducing formula

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convolution as an integral transform (44A35) Inequalities for sums, series and integrals (26D15)

Related Items (3)

On the boundedness of square function generated by the Bessel differential operator in weighted Lebesque \(L_{p,\alpha}\) spaces ⋮ Square-like functions generated by the Laplace-Bessel differential operator ⋮ Commutators of the B-maximal operator and B-maximal commutators

Cites Work

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• Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms
• Bi-parametric potentials, relevant function spaces and wavelet-like transforms
• Bounded double square functions
• Walsh multipliers and square functions for the Hardy space \(H^1\)
• Intersection bodies and generalized cosine transforms
• Weak type estimates of square functions associated with quasiradial Bochner-Riesz means on certain Hardy spaces
• The development of square functions in the work of A. Zygmund
• Square functions in ergodic theory
• Composite wavelet transforms: applications and perspectives

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