Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents
Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents
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DOI：
10.1007/s13348-013-0082-7
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发表时间：
2013-03
影响因子：
1.1
通讯作者：
Y. Sawano;T. Shimomura
中科院分区：
文献类型：
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作者：
Y. Sawano;T. Shimomura
目标是与一般度量空间上的Morrey空间相关的位势理论。本文研究变指数非倍增Morrey空间中函数的Riesz势的Sobolev不等式、Trudinger指数可积性和连续性。反例表明，我们的结果是合理的。除了上面的例子，本文的新之处在于，只要基础措施不收取任何分数，一切都可以开发出来。
The target is potential theory in connection with Morrey spaces on general metric measure spaces. The present paper is oritented to investigating Sobolev’s inequality, Trudinger exponential integrability and continuity for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents. A counterexample shows that our results are reasonable. In addition to the example above, what is new about this paper is that everything can be developed once the underlying measure does not charge any point.