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2014•Journal of Inequalities and ApplicationsOpen access

Bilinear Calderón-Zygmund operators of type "Equation missing" on non-homogeneous space

Taotao Zheng, Xiangxing Tao, Xiaomei Wu

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Abstract

Abstract Let ( X , d , μ ) be a geometrically doubling metric spaces and the measure μ satisfy the upper doubling condition. The aim of this paper, under this assumption, is to study the boundedness of the bilinear Calderón-Zygmund operator of type ω ( t ) . As an application, we obtain the Morrey boundedness properties of the bilinear operator. MSC:42B20, 42B25, 42B35.

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Abstract Let ( X , d , μ ) be a geometrically doubling metric spaces and the measure μ satisfy the upper doubling condition. The aim of this paper, under this assumption, is to study the boundedness of the bilinear Calderón-Zygmund operator of type ω ( t ) . As an application, we obtain the Morrey boundedness properties of the bilinear operator. MSC:42B20, 42B25, 42B35.

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Available abstract

Abstract Let ( X , d , μ ) be a geometrically doubling metric spaces and the measure μ satisfy the upper doubling condition. The aim of this paper, under this assumption, is to study the boundedness of the bilinear Calderón-Zygmund operator of type ω ( t ) . As an application, we obtain the Morrey boundedness properties of the bilinear operator. MSC:42B20, 42B25, 42B35.

Key concepts: Algorithm, Type (biology), Bilinear interpolation, Mathematics, Statistics, Geology, Paleontology

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