Results 21 to 30 of about 69,935 (265)

Unbounded functions in the unit disk

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
A survey is made of results related to the value distribution of functions which are meromorphic or analytic in the unit disc and have unbounded growth according to some specific growth indicator.
L. R. Sons
doaj   +1 more source

Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1

open access: yesJournal of Function Spaces, 2023
We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
doaj   +1 more source

Line Transversals to Unit Disks [PDF]

open access: yesDiscrete & Computational Geometry, 2002
Remember that a line transversal to a family of compact convex sets of Euclidean space is a straight line which intersects every set of this family. The author proves that if \(\mathcal F\) is a finite family of disjoint unit disks in the plane such that every three of those disks have a line transversal, then there exists a line which intersects all ...
openaire   +1 more source

Location Oblivious Distributed Unit Disk Graph Coloring [PDF]

open access: yesAlgorithmica, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barbeau, Michel   +4 more
openaire   +1 more source

Improper Colourings of Unit Disk Graphs

open access: yesElectronic Notes in Discrete Mathematics, 2005
AbstractMotivated by a satellite communications problem, we consider a generalized coloring problem on unit disk graphs. A coloring is k‐improper if no more than k neighbors of every vertex have the same colour as that assigned to the vertex. The k‐improper chromatic number χk(G) is the least number of colors needed in a k‐improper coloring of a graph ...
Havet, Frédéric   +2 more
openaire   +3 more sources

Essential norm of some extensions of the generalized composition operators between kth weighted-type spaces

open access: yesJournal of Inequalities and Applications, 2017
We calculate the essential norm of some extensions of the generalized composition operators between kth weighted-type spaces on the unit disk in the complex plane, considerably extending some results in the literature.
Stevo Stević
doaj   +1 more source

Analytic Classes on Subframe and Expanded Disk and the ℛs Differential Operator in Polydisk

open access: yesJournal of Inequalities and Applications, 2009
We introduce and study new analytic classes on subframe and expanded disk and give complete description of their traces on the unit disk. Sharp embedding theorems and various new estimates concerning differential ℛs operator in polydisk also will
Olivera R. Mihić   +1 more
doaj   +1 more source

Existence and stability of fractional complex Liu system [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2014
In this work, we consider the stability and stabilization of complex fractional Liu system. We assume the fractional calculus in sense of the Caputo derivatives (real and complex).
Rabha W. Ibrahim
doaj  

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

open access: yesFEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura   +2 more
wiley   +1 more source

Inequalities of harmonic univalent functions with connections of hypergeometric functions

open access: yesOpen Mathematics, 2015
Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH(
Sokół Janusz   +3 more
doaj   +1 more source

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