The special atom space and Haar wavelets in higher dimensions

DOI10.1515/dema-2020-0011zbMath1446.42051OpenAlexW3043420472MaRDI QIDQ2193995

Eddy Kwessi, Mariama Ndiaye, Geraldo Soares de Souza, Ngalla Djitté

Publication date: 25 August 2020

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

Full work available at URL: https://doi.org/10.1515/dema-2020-0011

zbMATH Keywords

analytic functionHaar waveletshigh dimensionspecial atom

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) (H^p)-spaces (42B30) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Fourier series and coefficients in several variables (42B05) Dirichlet series, exponential series and other series in one complex variable (30B50)

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Cites Work

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• A note on multiplication and composition operators in Lorentz spaces
• Atomic decomposition of generalized Lipschitz spaces
• The Atomic Decomposition of Besov-Bergman-Lipschitz Spaces
• A Function in the Dirichlet Space such that its Fourier Series Diverges Almost Everywhere
• On Lacunary Trigonometric Series
• A real variable characterization of $H^{p}$
• Characterization of lacunary functions in weighted Bergman–Besov–Lipschitz spaces

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