Hardy–Littlewood theorems for trigonometric series with general monotone coefficients

DOI10.4064/SM180225-13-10zbMath1436.42008OpenAlexW2964619687WikidataQ127393065 ScholiaQ127393065MaRDI QIDQ5207346

M. I. D'yachenko, Askhat Birlesovich Mukanov, Sergey Yu. Tikhonov

Publication date: 19 December 2019

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

Full work available at URL: https://doi.org/10.4064/sm180225-13-10

zbMATH Keywords

weighted Lebesgue spacesLorentz spaces

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) Monotonic functions, generalizations (26A48) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (10)

Weighted Fourier inequalities and boundedness of variation ⋮ Functions with general monotone Fourier coefficients ⋮ Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients ⋮ Piecewise general monotone functions and the Hardy-Littlewood theorem ⋮ Asymptotics of sums of sine series with fractional monotonicity coefficients ⋮ Counterexamples to the Hardy-Littlewood theorem for generalized monotone sequences ⋮ The sets of positivity of sine series with monotone coefficients ⋮ Smoothness of functions and Fourier coefficients ⋮ Smoothness of functions versus smoothness of approximation processes ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

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