A Generalization of Exponential Class and Its Applications

Hongya Gao, Chao Liu and Hong Tian

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

A function space, , , is defined. It is proved that is a Banach space which is a generalization of exponential class. An alternative definition of space is given. As an application, we obtain weak monotonicity property for very weak solutions of -harmonic equation with variable coefficients under some suitable conditions related to , which provides a generalization of a known result due to Moscariello. A weighted space is also defined, and the boundedness for the Hardy-Littlewood maximal operator and a Calderón-Zygmund operator with respect to is obtained.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:476309

DOI: 10.1155/2013/476309

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