Results 11 to 20 of about 140,249 (314)
A Uniform Boundedness Theorem [PDF]
A variation on the uniform boundedness theorem [2, p. 105] of functional analysis is obtained by replacing pointwise boundedness by a slightly stronger type of boundedness. This makes it possible to remove the category requirements from the set over which it is desired to have a collection of functions uniformly bounded.
John W. Brace, Robert M. Nielsen
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$R$ -Boundedness versus $\gamma$ -boundedness [PDF]
It is well-known that in Banach spaces with finite cotype, the $R$-bounded and $\gamma$-bounded families of operators coincide. If in addition $X$ is a Banach lattice, then these notions can be expressed as square function estimates. It is also clear that $R$-boundedness implies $\gamma$-boundedness.
Kwapien, Stanislaw+2 more
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Separating Polynomial $$\chi $$-Boundedness from $$\chi $$-Boundedness
AbstractExtending the idea from the recent paper by Carbonero, Hompe, Moore, and Spirkl, for every function $$f:\mathbb {N}\rightarrow \mathbb {N}\cup \{\infty \}$$ f : N → N ∪ {
Briański, M, Davies, J, Walczak, B
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AbstractIf a graph has bounded clique number and sufficiently large chromatic number, what can we say about its induced subgraphs? András Gyárfás made a number of challenging conjectures about this in the early 1980s, which have remained open until recently; but in the last few years there has been substantial progress. This is a survey of where we are
Alex Scott, Paul Seymour
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We prove the validity of the ε-εβ{\varepsilon-\varepsilon^{\beta}} property in the isoperimetric problem with double density, generalising the known properties for the case of single density. As a consequence, we derive regularity for isoperimetric sets.
Pratelli Aldo, Saracco Giorgio
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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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Adjectives and boundedness [PDF]
This paper examines the significance of the schematic domain of BOUNDEDNESS in adjectives. It is proposed that boundedness in adjectives is a fundamental characteristic associated with gradability. Cross-categorial correspondences are made to nouns and verbs, where boundedness is a feature of countability and aktionsart respectively. Two basic types of
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The paper deals with the problems of the global existence, boundedness and integrability, and solutions of an integro-differential equation (IDE) of second order with n-constant retardations.
Sizar Abid Mohammed
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Malaria is a deadly human disease that is still a major cause of casualties worldwide. In this work, we consider the fractional-order system of malaria pestilence. Further, the essential traits of the model are investigated carefully.
Nauman Ahmed+6 more
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