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has been cited by the following article:

• TITLE: Regularity of Solutions to an Integral Equation on a Half-Space R+n

  AUTHORS: Linfen Cao, Zhaohui Dai

  KEYWORDS: Regularity Lifting; HLS Inequality; Contracting Operators; Shrinking Operators

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.1A, January 30, 2013

  ABSTRACT: In this paper, we discuss the integral equation on a half space R+n where is the reflection of the point x about the . We study the regularity for the positive solutions of (0.1). A regularity lifting method by contracting operators is used in proving the boundedness of solutions, and the Lipschitz continuity is derived by combinations of contracting and shrinking operators introduced by Ma-Chen-Li ([1]).