Riesz-Zygmund means and trigonometric approximation in Morrey spaces

DOI10.1007/S41478-024-00797-2MaRDI QIDQ6660758

Sergey Volosivets

Publication date: 10 January 2025

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

modulus of smoothnessbest approximationMorrey spacesinverse approximation theoremsRiesz-Zygmund means of Fourier series

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Cites Work

• On the rate of approximation of functions in Lipschitz norms
• Direct and strong converse inequalities for approximation with Fejér means
• Morrey spaces
• Saturation theorems for Hermite-Fourier series
• Hybrid function spaces, heat and Navier-Stokes equations
• Derivatives of a polynomial of best approximation
• Approximation in variable exponent spaces and growth of norms of trigonometric polynomials
• On restrictions of multipliers in weighted settings
• Another Characterization of BMO
• Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
• Approximation by Matrix Transforms in Morrey Spaces
• Weighted Norm Inequalities for the Hardy Maximal Function
• Sur l'ordre de grandeur de l'approximation d'une fonction périodique par les sommes de Fejér
• Function Spaces
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