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Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation

Locally Defined Operators in the Space of Functions of Bounded Riesz-Variation

We study the locally defined operator on the spaces of bounded Riesz<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-variation functions and we prove that those operators are the Nemytskii operator.