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INTEGRAL IDENTITIES AND MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
INTEGRAL IDENTITIES MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
2014/4/3
New formulas for the integration of the k-th elementary symmetric functions of the Shouten tensor are derived and applied to deduce some
Minkowski type inequalities.
An operator inequality associated with Hilbert's type integral inequality
mathematical analysis integral operator Beta function Hilbert's type integral inequality
2011/9/29
In the paper, by using the way of weight functions and the theory of operators, we define a new Hilbert-type integral operator and obtain its norm. As applications, a Hilbert-type operator inequality ...
On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian
Rayleigh functions Laplacian eigenvalue problems non-local boundary conditions
2010/12/9
In this article, we provide two different ways of producing recursive formulas for the Rayleigh functions of eigenvalues of the one-dimensional Laplacian with non-local boundary conditions, which comm...
Performance Analysis and Design of Two Edge Type LDPC Codes for the BEC Wiretap Channel
Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
2010/12/10
We consider transmission over a wiretap channel where both the main channel and the wiretapper’s channel are Binary Erasure Channels (BEC).
On the Drinfeld-Sokolov Hierarchies of D type
pseudo-differential operator Drinfeld-Sokolov hierarchy tau function bilin earequation BKP hierarchy
2010/4/7
We extend the notion of pseudo-differential operators that are used to represent the Gelfand-Dickey hierarchies, and obtain a similar representation for the full Drinfeld-Sokolov hierarchies of $D_n$ ...
Generalized Dunkl-Sobolev Spaces of Exponential Type and Applications
Dunkl operators Dunkl-Bessel-Laplace operator Generalized Dunkl-Sobolev spaces of exponential type Pseudo differential-difference operators Reproducing kernels
2010/1/22
We study the Sobolev spaces of exponential type associated with the Dunkl-Bessel Laplace operator. Some properties including completeness and the imbedding theorem are proved. We next introduce a clas...
TIME SCALE HARDY-KNOPP TYPE INTEGRAL INEQUALITIES
Weights Hardy inequality Delta integral
2008/11/28
This paper deals with Hardy-Knopp type integral inequalities involving many functions
and Hardy-Knopp type integral inequalities with a general kernel on time scales.
SOME MORE STEINHAUS TYPE THEOREMS OVER VALUED FIELDS II
type theorems valued fields non-archimedean fields
2008/11/26
In this paper, a few more Steinhaus type theorems over valued fields are proved.
HILLE TYPE OSCILLATION CRITERIA FOR A CLASS OF FIRST ORDER NEUTRAL PANTOGRAPH DIFFERENTIAL EQUATIONS OF EULER TYPE
Oscillation neutral differential equation unbounded delay positive and negative coefficients
2008/11/25
HILLE TYPE OSCILLATION CRITERIA FOR A CLASS OF FIRST ORDER NEUTRAL PANTOGRAPH DIFFERENTIAL EQUATIONS OF EULER TYPE。
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
Darboux integrability Characteristic Lie Algebra First Integrals Integrability test
2010/2/25
Nonlinear semi-discrete equations of the form tx(n+1) = f(t(n), t(n+1), tx(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and an attempt to adopt this not...
Rough Singular Integrals Along Submanifolds of Finite Type on Product Domains
Singular integrals product domains rough kernels Block spaces
2010/2/26
We establish the Lp boundedness of singular integrals on product domains with rough kernels in L(log L)2 and are supported by subvarieties.