Lebesgue points of $$\ell _1$$-Cesàro summability of d-dimensional Fourier series
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AbstractWe generalize the classical Lebesgue’s theorem and prove that the $$\ell _1$$ ℓ 1 -Cesàro means of the Fourier series of the multi-dimensional function $$f\in L_1({{\mathbb {T}}}^d)$$ f ∈ L 1 ( T d ) converge to f at each strong $$\omega $$ ω -Lebesgue point.
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2004 ◽
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pp. 437-451
1994 ◽
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2007 ◽
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2019 ◽
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