Divergence of the Bochner-Riesz means in the weighted Hardy spaces

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Title

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Department of Mathematics, Faculty of Education, Kanazawa, University Kanazawa, 920-11, Japan

We costruct functions in

H_{w}^{1}

(

w \in A_{1}

) whose Fourier integral expansions are almost everywhere non-summable with respect to the Bochner-Riesz means of the critical order.

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