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Published in 2019 at "Nonlinearity"
DOI: 10.1088/1361-6544/aaf527
Abstract: We study the $L^2$-Sobolev space bijectivity of the direct and inverse scattering of the $3\times 3$ AKNS system associated to the Manakov system and Sasa-Satsuma equation. We establish the bijectivity on the weighted Sobolev space…
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Keywords:
system;
space;
sobolev space;
inverse scattering ... See more keywords
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Published in 2018 at "Siberian Mathematical Journal"
DOI: 10.1134/s0037446618060034
Abstract: We define two scales of the mappings that depend on two real parameters p and q, with n−1 ≤ q ≤ p < ∞, as well as a weight function θ. The case q =…
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Keywords:
sobolev space;
distortion;
differentiability mappings;
function ... See more keywords
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1
Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1940-3
Abstract: While the Bedrosian identity for the Hilbert transform of a product does not hold for general Sobolev class functions, we show that the defect of this identity is more regular than would be naively expected.…
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Keywords:
sobolev space;
estimate bedrosian;
bedrosian commutator;
commutator sobolev ... See more keywords
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2
Published in 2023 at "Mathematics"
DOI: 10.3390/math11102331
Abstract: This paper aims to fuzzify the width problem of classical approximation theory. New concepts of fuzzy Kolmogorov n-width and fuzzy linear n-width are introduced on the basis of α-fuzzy distance which is induced by the…
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Keywords:
finite dimensional;
space;
dimensional space;
width ... See more keywords