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Besov wavefront set
We develop a notion of wavefront set aimed at characterizing in Fourier space the directions along which a distribution behaves or not as an element...
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Function algebras of Besov and Triebel-Lizorkin-type
We prove that in the homogeneous Besov-type space the set of bounded functions constitutes a unital quasi-Banach algebra for the pointwise product....
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Free boundary problems of the incompressible Navier–Stokes equations with non-flat initial surface in the critical Besov space
Global well-posedness of the Navier–Stokes equations with a free boundary condition is considered in the scaling critical homogeneous Besov spaces
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Kolmogorov Widths of the Nikol’skii–Besov Classes of Periodic Functions of Many Variables in the Space of Quasicontinuous Functions
We obtain order estimates for the M -dimensional Kolmogorov widths of the Nikol’skii–Besov classes of periodic functions of many variables with...
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Well-posedness of short time solutions and non-uniform dependence on the initial data for a shallow water wave model in critical Besov space
A nonlinear shallow water wave equation containing the famous Degasperis-Procesi and Fornberg-Whitham equations is investigated. The well-posedness...
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Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications
In this paper, using inhomogeneous Calderón’s reproducing formulas and the space of test functions associated with a para-accretive function, the...
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Boundedness of the Hilbert Transform in Besov Spaces
Boundedness conditions are found for the Hilbert transform H in Besov spaces with Muckenhoupt weights. The operator H in this situation acts on...
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Best Orthogonal Trigonometric Approximations of the Nikol’skii–Besov-Type Classes of Periodic Functions in the Space B∞,1
Exact-order estimates are obtained for the best orthogonal trigonometric approximations of the Nikol’skii–Besov-type classes of periodic functions of...
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A New Characterization of the Besov Spaces Associated with Hermite Operator
Let H = −Δ + ∣ x ∣ 2 be a Hermite operator, where Δ is the Laplacian on ℝ n . In this paper, we give a new characterization of the Besov space associated...
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Ill-posedness for a generalized Camassa–Holm equation with higher-order nonlinearity in the critical Besov space
In this paper, we prove that the Cauchy problem for a generalized Camassa–Holm equation with higher-order nonlinearity is ill-posed in the critical...
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Strengthened Fractional Sobolev Type Inequalities in Besov Spaces
The purpose of this article is twofold. The first is to strengthen fractional Sobolev type inequalities in Besov spaces via the classical Lorentz...
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Harmonic projections on Besov spaces in the real ball
As is well known, Bergman projection operator continuously maps weighted Bergman and some more general spaces onto their holomorphic or harmonic...
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Riemann problem for multiply connected domain in Besov spaces
In this paper, we obtain conditions of the solvability of the Riemann boundary value problem for sectionally analytic functions in multiply connected...
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Sobolev and Besov Classes on Infinite-Dimensional Spaces
AbstractWe discuss various definitions of Sobolev and Besov classes on infinite-dimensional spaces, give a survey of the results on coincidence of...