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2003•Unpublished venueRequires access

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

Xin Li

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Abstract

Let G be a locally compact Vilenkin groups. In this paper, the boundedness properties of some sublinear operators with 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 with 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 with 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, Bounded function, Mathematical analysis, Ecology

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