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dc.contributor.author | Mizuta, Yoshihiro | en |
dc.contributor.alternative | 水田, 義弘 | ja |
dc.contributor.transcription | ミズタ, ヨシヒロ | - |
dc.date.accessioned | 2019-03-07T05:44:37Z | - |
dc.date.available | 2019-03-07T05:44:37Z | - |
dc.date.issued | 2017-07 | - |
dc.identifier.issn | 1880-2818 | - |
dc.identifier.uri | http://hdl.handle.net/2433/236924 | - |
dc.description.abstract | Riesz decomposition theorem says that a superharmonic function on the punctured unit ball B_{0} is represented as the sum of a generalized potential and a harmonic function outside the origin. Our first aim in this note is to study growth properties near the origin for generalized Riesz potentials of functions in central Herz-Morrey spaces on B_{0}. We know another Riesz decomposition theorem which says that a superharmonic function on the unit ball B is represented as the sum of another generalized potential and a harmonic function on B . Our second aim in this note is to obtain growth properties near the boundary partial B for generalized Riesz potentials of functions in central Herz-Morrey spaces on B. A continuous function u on an open set $Omega$ is called monotone in the sense of Lebesgue [18] if for every relatively compact open set Gsubset $Omega$, displaystyle mathrm{m}{frac{mathrm{a}{G}mathrm{x}u=max upartial G and displaystyle mathrm{m}{frac{mathrm{i}{G}mathrm{n}u=min_{partial G}u. Harmonic functions on $Omega$ are monotone in $Omega$. More generally, solutions of elliptic partial differential equations of second order and weak solutions for variational problems may be monotone (see [15]). Our final aim in this note is concerned with growth properties for monotone Sobolev functions in central Herz-Morrey spaces. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject.ndc | 410 | - |
dc.title | Growth properties for generalized Riesz potentials in central Herz-Morrey spaces (The structure of function spaces and its environment) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2041 | - |
dc.identifier.spage | 144 | - |
dc.identifier.epage | 153 | - |
dc.textversion | publisher | - |
dc.sortkey | 19 | - |
dc.address | Hiroshima U. | en |
dc.address.alternative | 広島大学 | ja |
dcterms.accessRights | open access | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2041 関数空間の構造とその周辺 |
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