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On the rate of convergence of the truncated hypersingular integrals generated by generalized poisson semigroup

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2022
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Abstract (EN)

In this dissertation, we first introduce the truncated hypersingular integral operators generatated by modified Poisson semigroup. Then, obtain some relation between the order of smoothness of a function f∈L^{p}(ℝⁿ) and the rate of pointwise convergence of this truncated hypersingular integrals as ε→0⁺ .

Author

Çiğdem Akay

Institution

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Çiğdem Akay (Master Thesis). On the rate of convergence of the truncated hypersingular integrals generated by generalized poisson semigroup, 2022, Akdeniz University.

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