Decay estimates for the arithmetic means of coefficients connected with composition operators

dc.contributor.author	Abi-Khuzam, Faruk F.
dc.contributor.department	Department of Mathematics
dc.contributor.faculty	Faculty of Arts and Sciences (FAS)
dc.contributor.institution	American University of Beirut
dc.date.accessioned	2025-01-24T11:24:36Z
dc.date.available	2025-01-24T11:24:36Z
dc.date.issued	2019
dc.description.abstract	Let f∈ L∞(T) with ‖ f‖ ∞≤ 1. If f(0) ≠ 0 , n, k∈ Z, and bn , n - k= ∫ Ef(x) ne- 2 π i ( n - k ) xdx, E= { x∈ T: \| f(x) \| = 1 } , we prove that the arithmetic means 1N∑n=MM+N\|bn,n-k\|2 decay like {logNlog2N···logqN}-1 as N→ ∞, uniformly in k∈ Z. © 2018, Springer Nature Switzerland AG.
dc.identifier.doi	https://doi.org/10.1007/s13324-018-0272-2
dc.identifier.eid	2-s2.0-85075889556
dc.identifier.uri	http://hdl.handle.net/10938/26048
dc.language.iso	en
dc.publisher	Birkhauser
dc.relation.ispartof	Analysis and Mathematical Physics
dc.source	Scopus
dc.subject	Decay estimates
dc.subject	Fourier coefficient
dc.subject	Toeplitz
dc.title	Decay estimates for the arithmetic means of coefficients connected with composition operators
dc.type	Article

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