Geodesic
Marcinkiewicz-type interpolation theorem and estimates for convolutions for Morrey-type spaces
Eurasian mathematical journal, Tome 9 (2018) no. 2, pp. 82-88

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We introduce a class of Morrey-type spaces $M_{p,q,\Omega}^\lambda$, which includes the classical Morrey spaces. We discuss their properties and we prove a Marcinkiewicz-type interpolation theorem. This theorem is then applied to obtaining a Young–O'Neil-type inequality for the convolution operator in Morrey-type spaces. 
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     title = {Marcinkiewicz-type interpolation theorem and estimates for convolutions for {Morrey-type} spaces},
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     pages = {82--88},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_2_a8/}
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V. I. Burenkov; D. K. Chigambayeva; E. D. Nursultanov. Marcinkiewicz-type interpolation theorem and estimates for convolutions for Morrey-type spaces. Eurasian mathematical journal, Tome 9 (2018) no. 2, pp. 82-88. http://geodesic.mathdoc.fr/item/EMJ_2018_9_2_a8/