Weighted Estimates of the Weyl-Type Operator and Its Compactness

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作者
Abylayeva, Akbota [1 ]
Otegen, Alisher [1 ]
机构
[1] MAMMALIAN BIOLOGY
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关键词
boundedness; compactness; Helder's inequality; Jensen's inequality; logarithmic singularity; weight function; BOUNDEDNESS;
D O I
MAMM BIOL
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摘要
In this paper, the results of the necessity and sufficiency conditions of the fact that the operator T for the case p <= q is bounded and compact from the weighted Lebesgue space L-p,L-w=L-p,L-w(I) are obtained, where L-p,L-w=L-p(w,I) is the set of all measurable functions f in the interval I=(a,b),0 <= a<<=infinity, which the norm is finite: ||||(,)=integral|()|()(1/) Lutra lutra) at the boundary of its Italian core range
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页码:1616-5047 / 1618-1476
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