Title of article
Some properties of conjugate harmonic functions in a half-space
Author/Authors
Alexey and Ryabogin، نويسنده , , Anatoly and Ryabogin، نويسنده , , Dmitry، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
8
From page
686
To page
693
Abstract
We prove a multi-dimensional analog of the theorem of Hardy and Littlewood about the logarithmic bound of the L p -average of the conjugate harmonic functions, 0 < p ⩽ 1 . We also give sufficient conditions for a harmonic vector to belong to H p ( R + n + 1 ) , 0 < p ⩽ 1 .
Keywords
Hardy spaces , Subharmonic functions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561161
Link To Document