In this paper we study Mumford-Shah type functionals associated with doubling metric measures or strong $A_{infty}$ weights in the setting of the perimeter theory in the sense of L. Ambrosio and M. Miranda Jr. in metric spaces. We prove an existence theorem in a suitably defined class of special $BV$ functions.

MUMFORD-SHAH-TYPE FUNCTIONALS ASSOCIATED WITH DOUBLING METRIC MEASURES / BALDI A.; FRANCHI B.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 135A:(2005), pp. 1-23. [10.1017/S0308210500003735]

MUMFORD-SHAH-TYPE FUNCTIONALS ASSOCIATED WITH DOUBLING METRIC MEASURES

BALDI, ANNALISA;FRANCHI, BRUNO
2005

Abstract

In this paper we study Mumford-Shah type functionals associated with doubling metric measures or strong $A_{infty}$ weights in the setting of the perimeter theory in the sense of L. Ambrosio and M. Miranda Jr. in metric spaces. We prove an existence theorem in a suitably defined class of special $BV$ functions.
2005
MUMFORD-SHAH-TYPE FUNCTIONALS ASSOCIATED WITH DOUBLING METRIC MEASURES / BALDI A.; FRANCHI B.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 135A:(2005), pp. 1-23. [10.1017/S0308210500003735]
BALDI A.; FRANCHI B.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/681
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