Fractional integrals and hypersingular integrals in variable order Holder spaces on homogeneous spaces
We consider non-standard H\"older spaces $H^{\lb(\cdot)}(X)$ of functions $f$ on a metric measure space $(X,d,\mu)$, whose H\"older exponent $\lb(x)$ is variable, depending on $x\in X$. We establish theorems on mapping properties of potential operators of variable order $\al(x)$, from suc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2009-06-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://armjmath.sci.am/index.php/ajm/article/view/52 |