Results 11 to 20 of about 7,445 (247)
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, Marcin +2 more
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$R$ -Boundedness versus $\gamma$ -boundedness
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.
Kwapień, Stanislaw +2 more
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The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator
The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for ...
Dongxiang Chen, Dan Zou
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The aim of this paper is to study the stability and boundedness of solutions of the initial value problem for a class of time-fractional diffusion equations.
Yanhua Wen, Xian-Feng Zhou, Jun Wang
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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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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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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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Integral type operators from normal weighted Bloch spaces to QT,S spaces
Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
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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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Persistence and Stability of a Food Chain Model with Mixed Selection of Functional Responses
One approach to the study of an ecological community begins with an important object: its food web. Theoretical studies of food web must contend with the question of how to couple the large number of interacting species. One line of investigation assumes
A. Maiti, B. Patra, G. P. Samanta
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