Capacity and the Corresponding Heat Semigroup Characterization from Dunkl-Bounded Variation

In this paper, we study some important basic properties of Dunkl-bounded variation functions. In particular, we derive a way of approximating Dunkl-bounded variation functions by smooth functions and establish a version of the Gauss–Green Theorem. We also establish the Dunkl BV capacity and investig...

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Hlavní autoři:	Xiangling Meng, Yu Liu, Xiangyun Xie
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	MDPI AG 2021-12-01
Edice:	Fractal and Fractional
Témata:	functions of bounded variation Dunkl operator Dunkl capacity Dunkl kernel heat kernel
On-line přístup:	https://www.mdpi.com/2504-3110/5/4/280
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