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Journal of the London Mathematical Society 1996 54(2):311-322; doi:10.1112/jlms/54.2.311
© 1996 by London Mathematical Society
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© The London Mathematical Society

Estimates for Commutators of Orthogonal Fourier Series

José J. Guadalupe, Mario Pérez and Francisco J. Ruiz

Departamento de Matemáticas y Computatión, Universidad de La Rioja 26004 Logroño, Spain
Departamento de Matemáticas, Universidad de Zaragoza 50009 Zaragoza, Spain

Received 30 July 1994.

In this paper we study weighted norm inequalities for the commutators [b, Sn] where b is a BMO function and Sn denotes the nth partial sum of the Fourier series relative to a system of orthogonal polynomials on [–1, 1] with respect to general weights. Results about generalized Jacobi and Bessel Fourier series are obtained.

E-mail address: mperez{at}posta.unizar.es

Research supported by DGICYT and by IER.


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