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On the Convergence of Bochner-Riesz’s Spherical Means of Fourier Double Integrals


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1 Alex Manoogian str., 0025, Yerevan, Armenia
     

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In this paper we consider the convergence by measure of Fourier integral spherical means of Riesz at a critical exponent δ = 1/2 after changing the values of the integrable function on the given set of a small measure.

Keywords

Double integrals, spherical means, convergence
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  • On the Convergence of Bochner-Riesz’s Spherical Means of Fourier Double Integrals

Abstract Views: 184  |  PDF Views: 0

Authors

M. G. Grigoryan
Alex Manoogian str., 0025, Yerevan, Armenia
L. S. Simonyan
Alex Manoogian str., 0025, Yerevan, Armenia

Abstract


In this paper we consider the convergence by measure of Fourier integral spherical means of Riesz at a critical exponent δ = 1/2 after changing the values of the integrable function on the given set of a small measure.

Keywords


Double integrals, spherical means, convergence

References





DOI: https://doi.org/10.18311/jims%2F2021%2F21651