Results 31 to 40 of about 56,141 (357)
On the boundedness of automorphic forms [PDF]
Since X has finite (noneuclidean) area if and only if P is a finitely generated group of the first kind [2 , [6d, our theorems are generalizations of the well-known fact that Aq(P) = Bq(r) when X has finite area. 2. Proof of the Lemma. It is well known [2], [6] that to each finitely generated Fuchsian group P of the second kind there corresponds a ...
David Drasin, C. J. Earle
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Criteria for the boundedness of a certain class of matrix operators from lpv into lqu
One of the main aims in the theory of matrices is to find necessary and sufficient conditions for the elements of any matrix so that the corresponding matrix operator maps continuously from one normed space into another one.
A.M. Temirkhanova, A.T. Beszhanova
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Total boundedness and bornologies
AbstractA set A in a metric space is called totally bounded if for each ε>0 the set can be ε-approximated by a finite set. If this can be done, the finite set can always be chosen inside A. If the finite sets are replaced by an arbitrary approximating family of sets, this coincidence may disappear. We present necessary and sufficient conditions for the
Beer, G, LEVI, SANDRO
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On boundedness of magnetohydrodynamic flows. I
Kasturi L Arora
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This paper deals with a two-species chemotaxis-competition system involving singular sensitivity and indirect signal production: $ \begin{equation*} \begin{cases} u_{t} = \nabla\cdot(D(u)\nabla u)-\chi_1\nabla\cdot(\frac{u}{z^{k}}\nabla z)+\mu_1 u(1-u-
Dongxiu Wang+3 more
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A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\MATHCAL A}^{B,C}$ ON WEIGHTED BERGMAN SPACES
In this article, we prove that the two-parameter family of operators Ab,c is bounded on the weighted Bergman spaces B p α+c−1 if α + 2 < p and unbounded if α + 2 = p.
S. Naik, P. K. Nath
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Boundedness in a Biofilm-Chemotaxis Model in Evolving Porous Media
The article concerns with a model discribing the growth of a biofilm made by chemotactical bacteria within a saturated porous media and affects the flow through the pores. The underlying model describing this process on the macroscale is derived in [21].
Raphael Schulz
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Substitution and χ -boundedness
A class $\mathcal{G}$ of graphs is said to be {\em $\chi$-bounded} if there is a function $f:\mathbb{N} \rightarrow \mathbb{R}$ such that for all $G \in \mathcal{G}$ and all induced subgraphs $H$ of $G$, $\chi(H) \leq f(\omega(H))$. In this paper, we show that if $\mathcal{G}$ is a $\chi$-bounded class, then so is the closure of $\mathcal{G}$ under any
Chudnovsky, Maria+3 more
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This article analyzes the historical development of Chilean congressional leadership offices (1834-1924), while testing a proposition of the theory of legislati ve institutionalization that says that legislatures gradually move to-ward greater ...
Iván Obando Camino
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Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption [PDF]
This paper deals with the homogeneous Neumann boundary-value problem for the chemotaxis-consumption system \begin{eqnarray*} \begin{array}{llc} u_t=\Delta u-\chi\nabla\cdot (u\nabla v)+\kappa u-\mu u^2,\\ v_t=\Delta v-uv, \end{array} \end{eqnarray*} in $
J. Lankeit, Yulan Wang
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