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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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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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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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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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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...
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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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Low Mach number limit of the global solution to the compressible Navier–Stokes system for large data in the critical Besov space
In this paper, we consider the compressible Navier–Stokes system around the constant equilibrium states and prove the existence of a unique global...
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Non-uniform continuity on initial data for the two-component b-family system in Besov space
This paper studies a two-component b-family system, which includes the two-component Camassa-Holm system and the two-component Degasperis-Procesi...
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Besov regularity of inhomogeneous parabolic PDEs
We study the regularity of solutions of parabolic partial differential equations with inhomogeneous boundary conditions on polyhedral domains
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Duals of Besov and Triebel-Lizorkin Spaces Associated with Operators
We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint...