On representation of functions that satisfy Lipschitz condition as convolution of functions from Lorentz spaces
Keyword(s):
Any $2\pi$-periodic function from the Lipschitz space $\Lambda_b^{\alpha}$ can be represented by way of the convolution of the functions from the Lorentz spaces $L_{p,r}$ and $L_{b,r'}$ in the case when $1 \leqslant b < \infty$, $0 < 1 - p^{-1} < \alpha < 1$ and the numbers $r$, $r'$ are picked in the corresponding way.
2021 ◽
Vol 500
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pp. 125169
1973 ◽
Vol 51
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pp. 123-130
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Keyword(s):
2012 ◽
Vol 55
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pp. 2493-2505
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2012 ◽
Vol 13
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pp. 860-881
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2017 ◽
Vol 323
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pp. 123-135
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2004 ◽
Vol 49
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pp. 231-247
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