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On singular integrals depending on three parameters |
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| Authors: | MM Yilmaz SK Serenbay |
| Institution: | a Department of Mathematics, University of Gaziantep, 27310 Gaziantep, Turkey b Department of Mathematics Education, Baskent University, 06530 Ankara, Turkey c Ankara University, Department of Mathematics, 06100 Ankara, Turkey |
| Abstract: | In this paper we will prove the pointwise convergence of L(f; x, y, λ) to f(x0, y0), as (x, y, λ) tends to (x0, y0, λ0) in the space L2π, by the three parameter family of singular operators. In contrast to previous works, the kernel function is radial. |
| Keywords: | Generalized Lebesgue point Radial kernel Double singular integral |
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