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Boundedness of Some Sublinear Operators on Herz-Type Hardy Spaces Over Vilenkin Groups

Yueshan Wang

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Abstract

Let G be a locally compact Vilenkin groups. In this paper, the boundedness properties of some sublinear operators which have the characteristic of fractional integration from H α,p_1 ___ q_1 (G) to H α,p_2 ___ q_2 (G) (or WH α,p_2 ___ q_2 (G)) are obtained.

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What this paper is about

Let G be a locally compact Vilenkin groups. In this paper, the boundedness properties of some sublinear operators which have the characteristic of fractional integration from H α,p_1 ___ q_1 (G) to H α,p_2 ___ q_2 (G) (or WH α,p_2 ___ q_2 (G)) are obtained.

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Available abstract

Let G be a locally compact Vilenkin groups. In this paper, the boundedness properties of some sublinear operators which have the characteristic of fractional integration from H α,p_1 ___ q_1 (G) to H α,p_2 ___ q_2 (G) (or WH α,p_2 ___ q_2 (G)) are obtained.

Key concepts: Sublinear function, Mathematics, Type (biology), Pure mathematics, Hardy space, Mathematical analysis, Biology, Ecology

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