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2003•Journal of Anhui Normal UniversityRequires access

BOUNDEDNESS OF SOME SUBLINEAR OPERATORS ON WEIGHTED HERZ TYPE HARDY SPACES

Lan Jia-cheng

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Abstract

In this paper, the boundedness properties of some fractional sublinear operators on weighted Herz type Hardy spaces are discussed. The conclusion is that T_l is bounded from H~~(α,p_1)__(q_1)(1,w~~(q_1)) into H~~(α,p_2)__(q_2)(1,w~~(q_2)).

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What this paper is about

In this paper, the boundedness properties of some fractional sublinear operators on weighted Herz type Hardy spaces are discussed. The conclusion is that T_l is bounded from H~~(α,p_1)__(q_1)(1,w~~(q_1)) into H~~(α,p_2)__(q_2)(1,w~~(q_2)).

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Available abstract

In this paper, the boundedness properties of some fractional sublinear operators on weighted Herz type Hardy spaces are discussed. The conclusion is that T_l is bounded from H~~(α,p_1)__(q_1)(1,w~~(q_1)) into H~~(α,p_2)__(q_2)(1,w~~(q_2)).

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

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