|
Eurasian Mathematical Journal, 2011, Volume 2, Number 2, Pages 134–138
(Mi emj57)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
Short communications
On a theorem of Muchenhoupt–Wheeden in generalized Morrey spaces
A. Gogatishvilia, R. Mustafayevb a Institute of Mathematics, Academy of Sciences of the Czech Republic, Prague, Czech Republic
b Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, Baku, Azerbaijan
Abstract:
In this paper we find a condition on a function $w$ which ensures the equivalence of norms of the Riesz potential and the fractional maximal function in generalized Morrey spaces $\mathcal M_{p,w}(\mathbb R^n)$.
Keywords and phrases:
generalized Morrey spaces, Riesz potential, fractional maximal operator.
Received: 01.06.2011
Citation:
A. Gogatishvili, R. Mustafayev, “On a theorem of Muchenhoupt–Wheeden in generalized Morrey spaces”, Eurasian Math. J., 2:2 (2011), 134–138
Linking options:
https://www.mathnet.ru/eng/emj57 https://www.mathnet.ru/eng/emj/v2/i2/p134
|
Statistics & downloads: |
Abstract page: | 396 | Full-text PDF : | 142 | References: | 59 |
|