An inequality for Cauchy products
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- by Javad Mashreghi PDF
- Proc. Amer. Math. Soc. 145 (2017), 3013-3016 Request permission
Corrigendum: Proc. Amer. Math. Soc. (to appear).
Abstract:
We show that $\ell ^p$ is closed under the Cauchy product by $\ell ^1$ sequences.References
- Raymond Cheng and William T. Ross, An inner-outer factorization in $\ell ^p$ with applications to ARMA processes, J. Math. Anal. Appl. 437 (2016), no. 1, 396–418. MR 3451972, DOI 10.1016/j.jmaa.2016.01.009
- G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
- Javad Mashreghi, Representation theorems in Hardy spaces, London Mathematical Society Student Texts, vol. 74, Cambridge University Press, Cambridge, 2009. MR 2500010, DOI 10.1017/CBO9780511814525
Additional Information
- Javad Mashreghi
- Affiliation: Université Laval, Département de mathématiques et de statistique, Québec City, Québec, G1V 0A6, Canada
- MR Author ID: 679575
- Email: javad.mashreghi@mat.ulaval.ca
- Received by editor(s): May 3, 2016
- Received by editor(s) in revised form: August 15, 2016
- Published electronically: December 8, 2016
- Additional Notes: This work was supported by NSERC (Canada).
- Communicated by: Stephan Ramon Garcia
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3013-3016
- MSC (2010): Primary 47A30; Secondary 26D15, 47A63
- DOI: https://doi.org/10.1090/proc/13437
- MathSciNet review: 3637949