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Universal reparametrization of a family of cycles : a new approach to meromorphic equivalence relations

David Mathieu (2000)

Annales de l'institut Fourier

We study analytic families of non-compact cycles, and prove there exists an analytic space of finite dimension, which gives a universal reparametrization of such a family, under some assumptions of regularity. Then we prove an analogous statement for meromorphic families of non-compact cycles. That is a new approach to Grauert’s results about meromorphic equivalence relations.

Upper and lower estimates in Banach sequence spaces

Raquel Gonzalo (1995)

Commentationes Mathematicae Universitatis Carolinae

Here we study the existence of lower and upper p -estimates of sequences in some Banach sequence spaces. We also compute the sharp p estimates in their basis. Finally, we give some applications to weak sequential continuity of polynomials.

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