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Journal of Convex Analysis 31 (2024), No. 2, 671--688
Copyright Heldermann Verlag 2024



BMO-Type Functionals Related to the Total Variation and Connection to Denoising Models

Serena Guarino Lo Bianco
Dipartimento di Scienze F.I.M., UniversitÓ degli Studi di Modena e Reggio Emilia, Modena, Italy
serena.guarinolobianco@unimore.it

Roberta Schiattarella
Dip. di Matematica e Applicazioni "R. Caccioppoli", UniversitÓ di Napoli "Federico II", Napoli, Italy
roberta.schiattarella@unina.it



The purpose of this paper is to analyze the asymptotic behaviour in the spirit of Γ-convergence of BMO-type functionals related to the total variation of a function u. Moreover, we deal with a minimization problem coming from applications in image processing.

Keywords: Total variation, bounded variation, BMO, Gamma-convergence.

MSC: 49Q20, 49J45, 26B30, 26D10.

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