Geodesic
An analog of Young's inequality for convolutions of functions for general Morrey-type spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 113-132

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An analog of the classical Young's inequality for convolutions of functions is proved in the case of general global Morrey-type spaces. The form of this analog is different from Young's inequality for convolutions in the case of Lebesgue spaces. A separate analysis is performed for the case of periodic functions. 
@article{TM_2016_293_a7,
     author = {V. I. Burenkov and T. V. Tararykova},
     title = {An analog of {Young's} inequality for convolutions of functions for general {Morrey-type} spaces},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {113--132},
     publisher = {mathdoc},
     volume = {293},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_293_a7/}
}
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V. I. Burenkov; T. V. Tararykova. An analog of Young's inequality for convolutions of functions for general Morrey-type spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 113-132. http://geodesic.mathdoc.fr/item/TM_2016_293_a7/