On derivations on certain function spaces and their relation to the differential operator. (Über Derivationen auf gewissen Funktionenräumen und deren Beziehung zum Differentiationsoperator.)
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Powa̧zka, Zbigniew, Rose, Michael (1994)
Mathematica Pannonica
A. van Rooij, W. Schikhof (1988)
Fundamenta Mathematicae
A. van Rooij (1988)
Fundamenta Mathematicae
Libor Jüttner (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
The problem of linearity of a multivalued derivative and consequently the problem of necessary and sufficient conditions for derivo-periodic multifunctions are investigated. The notion of a derivative of multivalued functions is understood in various ways. Advantages and disadvantages of these approaches are discussed.
Ľubica Holá (1989)
Mathematica Slovaca
M. Morayne (1984)
Colloquium Mathematicae
Michał Morayne (1987)
Colloquium Mathematicae
Michał Morayne (1987)
Colloquium Mathematicae
Lupulescu, Vasile (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
N.C. Manna (1970)
Monatshefte für Mathematik
S. N. Mukhopadhyay (1972)
Colloquium Mathematicae
Leindler, László (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Jozef Bobok (1999)
Fundamenta Mathematicae
Defining the complexity of a green pattern exhibited by an interval map, we give the best bounds of the topological entropy of a pattern with a given complexity. Moreover, we show that the topological entropy attains its strict minimum on the set of patterns with fixed eccentricity m/n at a unimodal X-minimal case. Using a different method, the last result was independently proved in[11].
Radić, M., Pogány, T.K., Kadum, V. (2003)
Balkan Journal of Geometry and its Applications (BJGA)
Leindler, Laszlo (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Leindler, Laszlo (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Marco Biroli, Patrick Maheux (2014)
Colloquium Mathematicae
We prove the equivalence of Nash type and super log Sobolev inequalities for Dirichlet forms. We also show that both inequalities are equivalent to Orlicz-Sobolev type inequalities. No ultracontractivity of the semigroup is assumed. It is known that there is no equivalence between super log Sobolev or Nash type inequalities and ultracontractivity. We discuss Davies-Simon's counterexample as the borderline case of this equivalence and related open problems.
Wasowicz, Szymon (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
S. Mukhopadhyay (1973)
Fundamenta Mathematicae
Ewert, Janina, Ponomarev, S.P. (2006)
Sibirskij Matematicheskij Zhurnal