Lejin Xu
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 $$H\dot K_q^{\alpha ,p} (w_1 ;w_2 )$$ into $$\dot K_q^{\alpha ,p} (w_1 ;w_2 )$$ .
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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 $$H\dot K_q^{\alpha ,p} (w_1 ;w_2 )$$ into $$\dot K_q^{\alpha ,p} (w_1 ;w_2 )$$ .
Key concepts: Mathematics, Hardy space, Type (biology), Bounded function, Homogeneous, Kernel (algebra), Mathematical analysis, Pure mathematics