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A Note on Coulhon type inequalities
Sobolev inequalities modulus of continuity symmetrization isoperimetric inequalities interpolation
2012/6/29
T. Coulhon introduced an interesting parametrization of Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.
A type (4) space in (FR)-classification
Classification of Banach spaces quasi-minimal tight Banach spaces Functional Analysis
2012/6/19
We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers' classification pro...
Entire Functions of Exponential-Type with Given Zeros
Entire functions Exponential-type Zeros the Growth
2011/10/20
In this paper, we consider some entire functions of exponential-type with given zeros, a kind of sequences of complex numbers in the right half-plane, and discuss the growth of the functions on the im...
On the Properties of Special Functions on the linear-type lattices
q-hypergeometric functions difference equations recurrence relations q-polynomials
2011/9/23
Abstract: We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear diff...
New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals
Ostrowski type inequality convex function Riemann-Liouville fractional integral
2011/9/22
Abstract: New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractiona...
Some new Inequalities of Hardy-Hilbert Type with general kernel
Hardy-Hilbert’s inequality Hardy’s inequalities Holder inequality
2011/9/20
Abstract: In this paper, by using hardy inequality, we establish some new integral inequalities of Hardy-Hilbert type with general kernel. As applications, equivalent forms and some particular results...
$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions
Nemytskii operators Sobolev-type spaces of periodic functions C1-smoothness Functional Analysis
2011/9/19
Abstract: We consider a class of Nemytskii superposition operators that covers the nonlinear part of traveling wave models from laser dynamics, population dynamics, and chemical kinetics. Our main res...
On Some New Hadamard-Type Inequalities for Coordinated Quasi-convex Functions
Quasi-convex functions Holder Inequality Power Mean Inequality co-ordinates Lipschitzian function
2011/9/15
Abstract: In this paper, we establish some Hadamard-type inequalities based on coordinated quasi-convexity. Also we define a new mapping associated to coordinated convexity and we prove some propertie...
A unified treatment of ODEs under Osgood and Sobolev type conditions
DiPerna–Lions theory Sobolev regularity Osgood condition regular Lagrangian flow transport equation
2011/9/5
Abstract: In this paper we prove the existence, uniqueness and regularity of the DiPerna--Lions flow generated by a vector field which is "almost everywhere Osgood continuous", following Crippa and de...
Self-improving properties for abstract Poincaré type inequalities
Self-improving properties BMO and Lipschitz spaces John-Nirenberg inequalities generalized Poincare-Sobolev inequalities
2011/9/2
Abstract: We study self-improving properties in the scale of Lebesgue spaces of generalized Poincar\'e inequalities in the Euclidean space. We present an abstract setting where oscillations are given ...
Discrete Laguerre-Sobolev expansions: A Cohen type inequality
Laguerre polynomials Laguerre–Sobolev type polynomials Cohen type inequality Bessel functions
2011/8/25
Abstract: C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fourier expa...
Abstract: Let X and Y be two nxn Hermitian matrices. In the article "Proof of a conjectured exponential formula" (Linear and Multilinear Algebra (19) 1986, 187-197) R. C. Thompson proved that there ex...
Moyal multiplier algebras of the test function spaces of type S
Moyal multiplier algebras test function spaces of type S
2011/1/17
The Gel’fand-Shilov spaces of type S are considered as topological algebras with respect
to the Moyal star product and their corresponding algebras of multipliers are defined and
investigated.
Weak type estimates of Marcinkiewicz integrals on the weighted Hardy spaces and weighted Herz-type Hardy spaces
Marcinkiewicz integrals weighted Hardy spaces weighted
2011/1/17
TheMarcinkiewicz integral is essentially a Littlewood-Paley g-function,which plays a important role in harmonic analysis. In this article, by using the atomic decomposition theory of weighted Hardy sp...
Korovkin type theorem and iterates of certain positive linear operators
Iterates of operators degree of approximation K-functionals modulus of smoothness
2011/1/18
In this paper we prove Korovkin type theorem for iterates of general positive linear operators T :C [0, 1] ! C [0, 1] and derive quantitative estimates in terms of modulus of smoothness. In particular...