Geodesic
Sharp Extrapolation Theorems for Local Morrey Spaces
Informatics and Automation, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 82-97

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We show that the calculation of the sum of local Morrey spaces can be reduced to the calculation of the sum of sequence spaces that appear as parameters in the definition of local Morrey spaces. The presence of such a reduction allows us to obtain new extrapolation theorems for local Morrey spaces with sharp constants.
Keywords: Banach ideal space, local Morrey spaces, sum and intersection of spaces, extrapolation theorems. 
@article{TRSPY_2021_312_a3,
     author = {E. I. Berezhnoi},
     title = {Sharp {Extrapolation} {Theorems} for {Local} {Morrey} {Spaces}},
     journal = {Informatics and Automation},
     pages = {82--97},
     publisher = {mathdoc},
     volume = {312},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a3/}
}
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E. I. Berezhnoi. Sharp Extrapolation Theorems for Local Morrey Spaces. Informatics and Automation, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 82-97. http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a3/