Results 11 to 20 of about 32,869 (134)
Let $\Omega$ be a smooth bounded domain in $\mathbb R^n$ and u be a measurable function on $\Omega$ such that $|u(x)|=1$ almost everywhere in $\Omega$. Assume that u belongs to the $B^s_{p,q}(\Omega)$ Besov space.
P. Mironescu, E. Russ, Y. Sire
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BESOV CAPACITY AND HAUSDORFF MEASURES IN METRIC MEASURE SPACES [PDF]
This paper studies Besov ρ-capacities as well as their relationship to Hausdorff measures in Ahlfors regular metric spaces of dimension Q for 1 < Q < p < ∞.
Șerban Costea
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Besov and Triebel-Lizorkin spaces on homogeneous groups [PDF]
This paper develops a theory of Besov spaces $\dot{\mathbf{B}}^σ_{p,q} (N)$ and Triebel-Lizorkin spaces $\dot{\mathbf{F}}^σ_{p,q} (N)$ on an arbitrary homogeneous group $N$ for the full range of parameters $p, q \in (0, \infty]$ and $σ\in \mathbb{R ...
Rottensteiner, David +3 more
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Embedding Besov type spaces Bp(λ) into tent spaces and Volterra integral operators
In this paper, the boundedness and compactness of embedding from Besov Type spaces Bp(?) into tent spaces Tq,s(?) are investigated (1 ? p ? q < ? and 0 < ?,s < 1). As an application, the boundedness and compactness of Volterra integral operator T1 and
R. Qian
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On the reflexivity of the spaces of variable integrability and summability [PDF]
In this paper, we show that under the condition ...
A. Ghorbanalizadeh +2 more
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Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces $$\dot{\textbf{F}}^{\alpha }_{p,q}$$ F ˙ p , q α for the endpoint case of $$p = \infty $$ p = ∞ and the full scale of parameters $$\alpha \in ...
Sarah Koppensteiner +2 more
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Besov Spaces Induced by Doubling Weights [PDF]
Let $$1\leqslant ...
Atte Reijonen
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Sharp Estimates of the Embedding Constants for Besov Spaces bs p,q, 0 < p < 1 [PDF]
Sharp estimates are obtained for the rates of blow up of the norms of embeddings of Besov spaces bs p,q in Lorentz spaces as the parameters approach critical values. In [8] the case 1 _ p < 1 was investigated.
Evans, W. Desmond +2 more
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Littlewood–Paley decompositions and Besov spaces on Lie groups of polynomial growth [PDF]
We introduce a Littlewood–Paley decomposition related to any sub‐Laplacian on a Lie group G of polynomial volume growth; this allows us to prove a Littlewood–Paley theorem in this general setting and to provide a dyadic characterization of Besov spaces B
G. Furioli +2 more
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Compact embeddings of Besov spaces involving only slowly varying smoothness [PDF]
summary:We characterize compact embeddings of Besov spaces $B^{0,b}_{p,r}(\mathbb {R}^n)$ involving the zero classical smoothness and a slowly varying smoothness $b$ into Lorentz-Karamata spaces $L_{p, q; \bar {b}}(\Omega )$, where $\Omega $ is a bounded
Opic, Bohumír +3 more
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