Results 11 to 20 of about 7,445 (247)

Separating Polynomial $$\chi $$-Boundedness from $$\chi $$-Boundedness

open access: yesCombinatorica, 2023
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
openaire   +5 more sources

$R$ -Boundedness versus $\gamma$ -boundedness

open access: yesArkiv för Matematik, 2016
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
openaire   +5 more sources

The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator

open access: yesJournal of Function Spaces, 2014
The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for ...
Dongxiang Chen, Dan Zou
doaj   +1 more source

Stability and boundedness of solutions of the initial value problem for a class of time-fractional diffusion equations

open access: yesAdvances in Difference Equations, 2017
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
doaj   +1 more source

Criteria for the boundedness of a certain class of matrix operators from lpv into lqu

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
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
doaj   +1 more source

Boundedness in a Biofilm-Chemotaxis Model in Evolving Porous Media

open access: yesMathematical Modelling and Analysis, 2017
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
doaj   +1 more source

A NOTE ON A TWO-PARAMETER FAMILY OF OPERATORS ${\MATHCAL A}^{B,C}$ ON WEIGHTED BERGMAN SPACES

open access: yesПроблемы анализа, 2019
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
doaj   +1 more source

Integral type operators from normal weighted Bloch spaces to QT,S spaces

open access: yesJournal of Hebei University of Science and Technology, 2016
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
doaj   +1 more source

A survey of χ‐boundedness

open access: yesJournal of Graph Theory, 2020
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
openaire   +4 more sources

Persistence and Stability of a Food Chain Model with Mixed Selection of Functional Responses

open access: yesNonlinear Analysis, 2006
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
doaj   +1 more source

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