A Generalization of Boyd’s Interpolation TheoremActa Mathematica Scientia - Tập 41 - Trang 1263-1274 - 2021
Kwok-Pun Ho
Boyd’s interpolation theorem for quasilinear operators is generalized in this paper, which gives a generalization for both the Marcinkiewicz interpolation theorem and Boyd’s interpolation theorem. By using this new interpolation theorem, we study the spherical fractional maximal functions and the fractional maximal commutators on rearrangement-invariant quasi-Banach function spaces. In particular,...... hiện toàn bộ
The Sasa-Satsuma Equation on a Non-Zero Background: The Inverse Scattering Transform and Multi-Soliton SolutionsActa Mathematica Scientia - Tập 43 - Trang 1045-1080 - 2023
Lili Wen, Engui Fan, Yong Chen
We concentrate on the inverse scattering transformation for the Sasa-Satsuma equation with 3 × 3 matrix spectrum problem and a nonzero boundary condition. To circumvent the multi-value of eigenvalues, we introduce a suitable two-sheet Riemann surface to map the original spectral parameter k into a single-valued parameter z. The analyticity of the Jost eigenfunctions and scattering coefficients of ...... hiện toàn bộ