2013•Journal of Inequalities and ApplicationsOpen access

Boundedness of Toeplitz-type operator associated to general integral operator on L p spaces with variable exponent

Yuan Xin-sheng, Zhigang Wang

Abstract

In this paper, the boundedness for some Toeplitz-type operator related to some general integral operator on spaces with variable exponent is obtained by using a sharp estimate of the operator. The operator includes Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. MSC:42B20, 42B25.

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Key concepts: Mathematics, Operator (biology), Strictly singular operator, Finite-rank operator, Compact operator, Semi-elliptic operator, Shift operator, Quasinormal operator