Uniformly Bounded Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz

W. Aziz, N. Merentes
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Abstract

We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are an affine function.
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Riesz意义上有界变分函数空间中的一致有界集值复合算子
证明了在Riesz意义上的有界变分函数空间中,具有非空有界闭值和凸值的任何一致有界集值组合Nemytskij算子的生成子的横向正则化是仿射函数。
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