Conjugate functions and the modulus of smoothness of fractional order

DOI10.3103/S1068362318050060zbMath1406.42018OpenAlexW2914746966MaRDI QIDQ1725472

Ana Danelia

Publication date: 14 February 2019

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362318050060

zbMATH Keywords

modulus of smoothnessconjugate function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33)

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Cites Work

• Multidimensional conjugation operators and deformations of the classes \(Z(\omega^{(2)}; C(T^m))\)
• Characteristics of Besov-Nikol'skiĭ class of functions
• Conjugate function and the modulus of continuity of \(k\)-th order
• On moduli of smoothness of fractional order
• Embedding theorems in constructive approximation
• Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
• Multidimensional analogue of a theorem of Privalov
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