On basicity of the degenerate trigonometric system with excess

DOI10.12697/ACUTM.2017.21.17zbMath1395.46024MaRDI QIDQ4638297

Aydin Sh. Shukurov

Publication date: 4 May 2018

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

Muckenhoupt conditionSchauder basessystem of cosines with degenerate coefficientssystem of sines with degenerate coefficients

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) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Cites Work

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• Bases of exponentials, sines, and cosines in weighted spaces on a finite interval
• On the frame properties of degenerate system of sines
• Multipliers, bases, and unconditional bases in the weighted spaces B and SB
• Bases of exponentials in weighted spaces generated by zeros of the Fourier-Stieltjes transform
• Comment on ``On the frame properties of degenerate system of sines
• Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces
• Addendum to ``Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces" (Colloq. Math. 127 (2012), 105–109)
• Bases of exponentials, sines and cosines in weighted spaces on a finite interval
• The Power System is Never a Basis in the Space of Continuous Functions
• A weighted norm inequality for Fourier series
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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