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< We are going to define a relatively large class of functions of bounded variation defined on an open subset
< of $$\mathbb R^n$$, which in particular contains the Sobolev space $$W^{1,1}(\Omega)$$. Furthermore, we are going to discuss the connection between the classical variation in the sense of Jordan and the generalized one.
do
> We are going to define a relatively large class of functions of bounded variation defined on an open subset of $$\mathbb R^n$$, which in particular contains the Sobolev space $$W^{1,1}(\Omega)$$. Furthermore, we are going to discuss the connection between the classical variation in the sense of Jordan and the generalized one.
Piotr Kasprzak
On a certain class of functions of bounded variation
We are going to define a relatively large class of functions of bounded variation defined on an open subset of , which in particular contains the Sobolev space
. Furthermore, we are going to discuss the connection between the classical variation in the sense of Jordan and the generalized one.