排序方式： 共有8条查询结果，搜索用时 15 毫秒
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Siberian Mathematical Journal - We obtain some criteria for a bilinear inequality of a class of operators of fractional integration that imply the corresponding criteria and... 相似文献
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Zamira Abdikalikova Ryskul Oinarov Lars-Erik Persson 《Czechoslovak Mathematical Journal》2011,61(1):7-26
We consider a new Sobolev type function space called the space with multiweighted derivatives $
W_{p,\bar \alpha }^n
$
W_{p,\bar \alpha }^n
, where $
\bar \alpha
$
\bar \alpha
= (α
0, α
1,…, α
n
), α
i
∈ ℝ, i = 0, 1,…, n, and $
\left\| f \right\|W_{p,\bar \alpha }^n = \left\| {D_{\bar \alpha }^n f} \right\|_p + \sum\limits_{i = 0}^{n - 1} {\left| {D_{\bar \alpha }^i f(1)} \right|}
$
\left\| f \right\|W_{p,\bar \alpha }^n = \left\| {D_{\bar \alpha }^n f} \right\|_p + \sum\limits_{i = 0}^{n - 1} {\left| {D_{\bar \alpha }^i f(1)} \right|}
,
|
$
D_{\bar \alpha }^0 f(t) = t^{\alpha _0 } f(t),D_{\bar \alpha }^i f(t) = t^{\alpha _i } \frac{d}
{{dt}}D_{\bar \alpha }^{i - 1} f(t),i = 1,2,...,n
$
D_{\bar \alpha }^0 f(t) = t^{\alpha _0 } f(t),D_{\bar \alpha }^i f(t) = t^{\alpha _i } \frac{d}
{{dt}}D_{\bar \alpha }^{i - 1} f(t),i = 1,2,...,n
相似文献
3.
4.
R. Oinarov 《Siberian Mathematical Journal》2007,48(5):884-896
We introduce some nested classes of Volterra type integral operators. For the operators of these classes we establish criteria for boundedness and compactness in Lebesgue spaces. 相似文献
5.
R. Oinarov 《Proceedings of the Steklov Institute of Mathematics》2016,293(1):255-271
For a class of convolution integral operators whose kernels may have integrable singularities, boundedness and compactness criteria in weighted Lebesgue spaces are obtained. 相似文献
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Translated from Matematicheskie Zametki, Vol. 50, No. 5, pp. 54–60, November, 1991. 相似文献
8.
R. Oinarov 《Mathematical Notes》1993,54(2):806-810
Translated from Matematicheskie Zametki, Vol. 54, No. 2, pp. 56–62, August, 1993. 相似文献
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