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Boundedness of Marcinkiewicz integral on the weighted Herz-type Hardy spaces |
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| Authors: | Lejin Xu |
| Institution: | 1. Department of Mathematics, Zhejiang University, 310027, Hangzhou, P.R. China |
| Abstract: | In this paper, we discuss the boundedness of Marcinkiewicz integral μΩ with homogeneous kernel on the weighted Herz-type Hardy spaces, and prove that μΩ is bounded from H(K)\dot]qa,p (w1 ;w2 )H\dot K_q^{\alpha ,p} (w_1 ;w_2 ) into (K)\dot]qa,p (w1 ;w2 )\dot K_q^{\alpha ,p} (w_1 ;w_2 ). |
| Keywords: | Marcinkiewicz integral Lr-Dini condition weighted Herz-type Hardy spaces HARDY SPACES WEIGHTED MARCINKIEWICZ INTEGRAL boundedness prove homogeneous kernel weighted Hardy spaces Marcinkiewicz integral paper |
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