Geodesic
Integral Inequalities for Entire Functions of Exponential Type in Morrey Spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 87-106

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We prove analogs of Bernstein's inequalities and inequalities of different metrics and different dimensions for entire functions of exponential type. Such inequalities are well known for Lebesgue spaces. In this paper we prove them for Morrey spaces.
Keywords: entire functions of exponential type, integral inequalities, Morrey space. 
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     author = {V. I. Burenkov and D. J. Joseph},
     title = {Integral {Inequalities} for {Entire} {Functions} of {Exponential} {Type} in {Morrey} {Spaces}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {87--106},
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     volume = {323},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/TM_2023_323_a4/}
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V. I. Burenkov; D. J. Joseph. Integral Inequalities for Entire Functions of Exponential Type in Morrey Spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 87-106. http://geodesic.mathdoc.fr/item/TM_2023_323_a4/