Yong Ding, Xudong Lai
Abstract
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Abstract In this paper, we prove that the singular integral defined by is bounded on Lp( ) for 1 < p < ∞ and is of weak type (1,1), where Ω ∈Llog+L( ) and , with a ∈ L∞( ) satisfying some restricted conditions.
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Abstract In this paper, we prove that the singular integral defined by is bounded on Lp( ) for 1 < p < ∞ and is of weak type (1,1), where Ω ∈Llog+L( ) and , with a ∈ L∞( ) satisfying some restricted conditions.
Key concepts: Mathematics, Homogeneous, Singular integral operators, Type (biology), Kernel (algebra), Bounded function, Singular integral, Pure mathematics