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International Conference "Functions Theory, Operators Theory and Quantum Information Theory"
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On boundedness of the generalized Riesz potential in local Morrey type spaces V. I. Burenkov, M. A. Senouci |
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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 |
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