[PDF] Top 20 On Integral Operators with Operator Valued Kernels

... and integral equations are represented by integral ...corresponding integral operators in the studied function ...multiplier operators plays a crucial role in the theory of linear ... See full document

... multilinear operators. In [–], the boundedness of a singular integral operator with non-smooth kernel is ...singular integral operator with non-smooth kernel is ... See full document

... The discrete approximation property is shown in section 3 to follow if the operator in question is a convergent operator-valued integral, in BY,Z, of eigenprojections, which in the to a [r] ... See full document

... In this paper, the sharp inequalities for some vector-valued multilinear integral operators are obtained. As applications, we get the weighted L p (p > 1) norm inequalities and an L log L-type ... See full document

... reproducing kernels is the 0th order case. We provide an application to integral operators: if k is a positive definite kernel on I (possibly unbounded) with differentiability class ᏿ n (I 2 ) and ... See full document

... definite operator-valued kernels and the Riesz-Her- glotz integral representation of the analytic on the unit disc, operator-valued functions with positive real part in the class ... See full document

... 26. Hytönen, T, Weis, L: Singular convolution integrals with operator-valued kernels. Math. Z. 255, 393-425 (2007) 27. Shakhmurov, VB, Shahmurov, R: Sectorial operators with convolution term. ... See full document

... Poisson kernels and a hierarchy of integral operators called higher order Pompeiu operators, we obtain a main result on integral representation solution as well as the uniqueness of the ... See full document

... diagonal operator, we present the historical roots of diagonal operators and we give some fixed point theorems for this class of ...Picard operator technique, difference equation techniques, and some ... See full document

... Let T be the multilinear Calderón-Zygmund operator with non-smooth kernel and let T ∗ be its corresponding maximal operator. In this paper, vector-valued weighted norm inequalities for T and T ∗ are ... See full document

... Abstract—In previous works we proposed a method for the study of systems with one renewable resource. The separation of the individual and the group parameters and the discretization of time led us to scalar linear ... See full document

... In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by BMO functions and multilinear singular integral operators with generalized ... See full document

... Our main concern in this work is in dealing with Marcinkiewicz operators under very weak conditions on the singular kernels. In fact, we establish certain estimates for M ρ ,φ,h , and then we apply an ... See full document

... several integral operators on the Triebel–Lizorkin spaces and Besov ...Marcinkiewicz integral operators associated to polynomial com- pound mappings with rough kernels in Hardy spaces H ... See full document

... monotone operators have been widely ...monotone operators are bounteous and successful and have found various applications to nonlinear integral equations and differential equa- ... See full document

... multilinear operator, as a non-trivial extension of a commutator, is of great interest in harmonic analysis and has been widely studied by many authors (see ...multilinear operators T b for the extreme ... See full document

... of kernels defined by the integral of scalar- valued kernels with respect to an operator-valued measure, Proposition 10 of studying the refinement of positive operators, ... See full document

... reproducing operator-valued kernel acting on both input and output ...block operator kernel matrix naturally allows the assignment of an appropriate basis function to the learning process for ... See full document

... ( < p < ∞ ). In [, ], the boundedness properties of the commutators for the extreme values of p are obtained. In this paper, we will introduce the multilinear commutator of singular integral ... See full document

... trivial generalization of the commutator. It is well known that commutators and multilin- ear operators are of great interest in harmonic analysis and have been widely studied by many authors (see [–]). The ... See full document