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Convergenza in variazione con peso e uniforme convergenza

Primo Brandi — 1977

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

We study, for functions f : [ a , b ] 𝐑 , some conditions of uniform and uniform almost everywhere convergence, after pointing out the indipendence from weight of convergence in variation.

On a class of variational integrals over BV varieties

Primo BrandiAnna Salvadori — 1989

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We present here our most recent results ([1def]) about the definition of non-linear Weiertrass-type integrals over BV varieties, possibly discontinuous and not necessarily Sobolev's.

Kuratowski convergence on compacta and Hausdorff metric convergence on compacta

Primo BrandiRita CeppitelliĽubica Holá — 1999

Commentationes Mathematicae Universitatis Carolinae

This paper completes and improves results of [10]. Let ( X , d X ) , ( Y , d Y ) be two metric spaces and G be the space of all Y -valued continuous functions whose domain is a closed subset of X . If X is a locally compact metric space, then the Kuratowski convergence τ K and the Kuratowski convergence on compacta τ K c coincide on G . Thus if X and Y are boundedly compact metric spaces we have the equivalence of the convergence in the Attouch-Wets topology τ A W (generated by the box metric of d X and d Y ) and τ K c convergence on G ,...

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