Abstract

1 Department ofMathematics and Information Scinence, TokyoMetropolitanUniversity, 1-1Minami-Ohsawa,Hachioji 192-0397, Japan 2Department of Mathematics, Bandung Institute of Technology, Bandung 40132, Indonesia 3 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey 4 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan 5 Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo 153-8914, Japan

Highlights

  • In connection with elliptic partial differential equations, C

  • The notion is originally from the partial differential equations, the space turned out to be important in many branches of mathematics

  • Adams proved the Morrey boundedness of the Riesz potential operators, which was the motivation of working on Morrey spaces

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Summary

Introduction

In connection with elliptic partial differential equations, C. The notion is originally from the partial differential equations, the space turned out to be important in many branches of mathematics In these five years more than 500 papers are written about Morrey spaces. Adams proved the Morrey boundedness of the Riesz potential operators, which was the motivation of working on Morrey spaces. This result extends the result by Spanne. The result by Spanne is recorded by Peetre It is very fundamental in partial differential equations to express the solution of the Laplace equations by way of Riesz potentials, we are faceing the situation where the classical results are not available or not enough.

Journal of Function Spaces
Vagif Guliyev Hitoshi Tanaka
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