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International Conference "Functions Theory, Operators Theory and Quantum Information Theory"
October 21, 2022 18:30–18:45, Section A, Ufa
 


On boundedness of the generalized Riesz potential in local Morrey type spaces

V. I. Burenkov, M. A. Senouci
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MP4 57.7 Mb

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Abstract: In the talk we state a result on the boundedness from one general local Morrey-type space to another one of the generalized Riesz potential
$$ \left(I_{\rho(\cdot)}f\right)(x) = \int_{\mathbb{R}^{n}}^{}\rho(|x-y|)f(y) dy,\ x\in \mathbb{R}^{n}, $$
under certain assumptions on the kernel $\rho$.
 
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