Results 41 to 50 of about 389 (184)
K-functionals for Besov spaces
Journal of Approximation Theory, 1991 Let \(X_ 0\), \(X_ 1\) be a pair of quasi-normed spaces, which are continuously embedded in a Hausdorff space \(X\); their \(K\)-functional, defined for all \(f\in X_ 0+X_ 1\) is \[ K(f,t):=\inf_{f=f_ 0+f_ 1}(\| f_ 0\|_{X_ 0}+t\| f_ 1\| _{X_ 1}). \] In particular, these functionals provide some information about interpolation spaces generated by \(X_ 0\
DeVore, Ronald A, Yu, Xiang Ming
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Relationship Between Limiting K‐Spaces and J‐Spaces in the Real Interpolation
Mathematische Nachrichten, Volume 299, Issue 7, Page 1556-1587, July 2026.ABSTRACT In the paper, “Description of the K$K$‐Spaces by Means of J$J$‐Spaces and the Reverse Problem,” Mathematische Nachrichten 296, no. 9 (2023), 4002–4031, we have established conditions under which the limiting K$K$‐space (X0,X1)0,q,b;K$(X_0,X_1)_{0,q,b;K}$, involving a slowly varying function b$b$, can be described by means of the J$J$‐space (X0,
Bohumír Opic, Manvi Grover
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Harmonic Besov spaces on the ball [PDF]
International Journal of Mathematics, 2016 We initiate a detailed study of two-parameter Besov spaces on the unit ball of [Formula: see text] consisting of harmonic functions whose sufficiently high-order radial derivatives lie in harmonic Bergman spaces. We compute the reproducing kernels of those Besov spaces that are Hilbert spaces.
Gergün S. +2 more
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
Mathematische Nachrichten, Volume 299, Issue 6, Page 1480-1509, June 2026.ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
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Fine dissipative properties of Euler solutions with measure first derivatives
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As consequences we obtain elementary proofs of the local energy conservation for solutions with bounded variation or deformation, without relying on the freedom in choosing the
Marco Inversi
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Besov-Type Spaces on R^d and Integrability for the Dunkl Transform
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution.
Chokri Abdelkefi +3 more
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Weighted Composition Operators from Besov Zygmund-Type Spaces into Zygmund-Type Spaces
Journal of Function Spaces, 2020 The boundedness, compactness, and essential norm of weighted composition operators from Besov Zygmund-type spaces into Zygmund-type spaces are investigated in this paper.
Xiangling Zhu, Nanhui Hu
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Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces
Advanced Nonlinear Studies, 2023 Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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