Conjugate Jacobi Series and Conjugate Functions Original Research Article

Zhongkai Conjugate Jacobi series is introduced، نويسنده , , according to the viewpoint of Muckenhoupt and Stein، نويسنده , , in the sense that the Jacobi harmonic function and the conjugate harmonic function satisfy the generalized Cauchy–Riemann equations. The integral form of Jacobi conjugate functions is also introduced، نويسنده , , which is identifiable with the conjugate Jacobi series in some sense. TheL1weak-boundedness andLpboundedness for 1