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.
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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