Ahmad Al-Salman, Hussain Al-Qassem
Abstract
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We study the mapping properties of singular integral operators defined by mappings of finite type. We prove that such singular integral operators are bounded on the Lebesgue spaces under the condition that the singular kernels are allowed to be in certain block spaces.
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We study the mapping properties of singular integral operators defined by mappings of finite type. We prove that such singular integral operators are bounded on the Lebesgue spaces under the condition that the singular kernels are allowed to be in certain block spaces.
Key concepts: Mathematics, Singular integral, Singular integral operators of convolution type, Singular integral operators, Pure mathematics, Bounded function, Lp space, Lebesgue integration