Shu Li-sheng
Abstract
We prove that Marcinkiewicz integral μ_Ω is an operator of type (H~(1,∞),L~(1,∞)) and of weak type (1,1). Where kernel Ω∈L~∞(S~(n-1)) be a homogeneous function of degree zero satisfying the cancellation property and a certain dini-type condition introduced by Lee and Rim recently.=
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We prove that Marcinkiewicz integral μ_Ω is an operator of type (H~(1,∞),L~(1,∞)) and of weak type (1,1). Where kernel Ω∈L~∞(S~(n-1)) be a homogeneous function of degree zero satisfying the cancellation property and a certain dini-type condition introduced by Lee and Rim recently.=
Key concepts: Mathematics, Bounded function, Kernel (algebra), Type (biology), Homogeneous, Zero (linguistics), Operator (biology), Pure mathematics