L 2-Sobolev space bijectivity of the inverse scattering of a 3 × 3 AKNS system
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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… read more here.
Keywords: system; space; sobolev space; inverse scattering ... See more keywords
Differentiability of Mappings of the Sobolev Space Wn−11 with Conditions on the Distortion Function
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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 =… read more here.
Keywords: sobolev space; distortion; differentiability mappings; function ... See more keywords
An estimate on the Bedrosian commutator in Sobolev space
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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.… read more here.
Keywords: sobolev space; estimate bedrosian; bedrosian commutator; commutator sobolev ... See more keywords
The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space
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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… read more here.
Keywords: finite dimensional; space; dimensional space; width ... See more keywords