Embedding vector-valued Besov spaces into spaces ofγ -radonifying operators

2008 ◽  
Vol 281 (2) ◽  
pp. 238-252 ◽  
Author(s):  
Nigel Kalton ◽  
Jan van Neerven ◽  
Mark Mark ◽  
Lutz Weis
Keyword(s):  
Besov Spaces ◽  
Vector Valued

scholarly journals Interpolation theorem for Nikol’skii-Besov type spaceswith mixed metric

2020 ◽  
Vol 100 (4) ◽  
pp. 33-42
Author(s):  
K.A. Bekmaganbetov ◽  
◽  
K.Ye. Kervenev ◽  
Ye. Toleugazy ◽  
◽  
...  
Keyword(s):  
Besov Space ◽  
Besov Spaces ◽  
Interpolation Theorem ◽  
Discrete Space ◽  
Mixed Derivative ◽  
Complex Interpolation ◽  
Interpolation Methods ◽  
Mixed Metric ◽  
Vector Valued

In this paper we study the interpolation properties of Nikol’skii-Besov spaces with a dominant mixed derivative and mixed metric with respect to anisotropic and complex interpolation methods. An interpolation theorem is proved for a weighted discrete space of vector-valued sequences l^α_q(A). It is shown that the Nikol’skii-Besov space under study is a retract of the space l^α_q(Lp). Based on the above results, interpolation theorems were obtained for Nikol’skii-Besov spaces with the dominant mixed derivative and mixed metric.

scholarly journals SOLUTIONS OF SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS ON PERIODIC BESOV SPACES

2007 ◽  
Vol 50 (2) ◽  
pp. 477-492 ◽  
Author(s):  
Verónica Poblete
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Besov Spaces ◽  
Spectral Properties ◽  
Maximal Regularity ◽  
Infinite Delay ◽  
Resonance Case ◽  
Existence Of Periodic Solutions ◽  
Necessary And Sufficient ◽  
Vector Valued

AbstractMaximal regularity for an integro-differential equation with infinite delay on periodic vector-valued Besov spaces is studied. We use Fourier multipliers techniques to characterize periodic solutions solely in terms of spectral properties on the data. We study a resonance case obtaining a compatibility condition which is necessary and sufficient for the existence of periodic solutions.

scholarly journals Schatten-von Neumann properties of bilinear Hankel forms of higher weights

2006 ◽  
Vol 98 (2) ◽  
pp. 283
Author(s):  
Marcus Sundhäll
Keyword(s):  
Holomorphic Function ◽  
Unit Ball ◽  
Besov Spaces ◽  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Von Neumann ◽  
Higher Weights ◽  
Vector Valued

Hankel forms of higher weights, on weighted Bergman spaces in the unit ball of $\mathsf{C}^d$, were introduced by Peetre. Each Hankel form corresponds to a vector-valued holomorphic function, called the symbol of the form. In this paper we characterize bounded, compact and Schatten-von Neumann $\mathcal{S}_p$ class ($2\leq p<\infty$) Hankel forms in terms of the membership of the symbols in certain Besov spaces.

Sign in / Sign up

Export Citation Format

Share Document