Viscous Flows in Besov Spaces

2000 ◽  
pp. 1-34 ◽  
Author(s):  
Marco Cannone
Keyword(s):  
Besov Spaces ◽  
Viscous Flows

scholarly journals Incompressible Viscous Flows in Borderline Besov Spaces

2008 ◽  
Vol 189 (2) ◽  
pp. 283-300 ◽  
Author(s):  
Taoufik Hmidi ◽  
Sahbi Keraani
Keyword(s):  
Besov Spaces ◽  
Viscous Flows ◽  
Incompressible Viscous Flows

CALCULATION OF PERIODIC VISCOUS FLOWS INITIATED BY NEAR-WALL BODY FORCE

2016 ◽  
Vol 47 (1) ◽  
pp. 51-63
Author(s):  
Sergey Viktorovich Manuilovich
Keyword(s):  
Body Force ◽  
Viscous Flows ◽  
Near Wall

Efficient approach for analysis of unsteady viscous flows in turbomachines

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 2005-2012
Author(s):  
L. He ◽  
W. Ning
Keyword(s):  
Viscous Flows ◽  
Efficient Approach

scholarly journals Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

2021 ◽  
Vol 11 (1) ◽  
pp. 72-95
Author(s):  
Xiao Zhang ◽  
Feng Liu ◽  
Huiyun Zhang
Keyword(s):  
Hilbert Transform ◽  
Besov Spaces ◽  
Singular Integrals ◽  
Riesz Transform ◽  
Morrey Spaces ◽  
Riesz Transforms ◽  
Rough Kernels ◽  
Lebesgue Spaces ◽  
Variation Operators

Abstract This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces. More precisely, we establish the boundedness for the variation operators of singular integrals with rough kernels Ω ∈ Lq (S n−1) (q > 1) and their commutators on Morrey spaces as well as the compactness for the above commutators on Lebesgue spaces and Morrey spaces. In addition, we present a criterion on the boundedness and continuity for a class of variation operators of singular integrals and their commutators on Besov spaces. As applications, we obtain the boundedness and continuity for the variation operators of Hilbert transform, Hermit Riesz transform, Riesz transforms and rough singular integrals as well as their commutators on Besov spaces.

scholarly journals Trace operators on fractals, entropy and approximation numbers

2011 ◽  
Vol 18 (3) ◽  
pp. 549-575
Author(s):  
Cornelia Schneider
Keyword(s):  
Besov Spaces ◽  
Trace Operator ◽  
Approximation Numbers ◽  
Atomic Decompositions ◽  
Sharp Estimates ◽  
Compact Embeddings ◽  
Trace Space

Abstract First we compute the trace space of Besov spaces – characterized via atomic decompositions – on fractals Γ, for parameters 0 < p < ∞, 0 < q ≤ min(1, p) and s = (n – d)/p. New Besov spaces on fractals are defined via traces for 0 < p, q ≤ ∞, s ≥ (n – d)/p and some embedding assertions are established. We conclude by studying the compactness of the trace operator TrΓ by giving sharp estimates for entropy and approximation numbers of compact embeddings between Besov spaces. Our results on Besov spaces remain valid considering the classical spaces defined via differences. The trace results are used to study traces in Triebel–Lizorkin spaces as well.

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