Unconditional bases, the matrix Muckenhoupt condition and Carleson series in a spectrum

DOI10.1023/A:1015335220037zbMath1004.46021MaRDI QIDQ1608590

Gennadiy Gubreev, Elena Ivanovna Olefir

Publication date: 29 August 2002

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

perturbationstwo-sided estimatesunconditional basesspectral structureintegration operatorsCarleson seriesfinite system of scalar Muckenhoupt weightsHilbert transform of vector-valued functionsrational vector-valued functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach spaces of continuous, differentiable or analytic functions (46E15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Completeness of sets of functions in one variable harmonic analysis (42A65)

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