The extension class as a hypersingular integral operator
A fractional Fourier integral operator and its extension to classes of function spaces
... a class of fractional Fourier integral operators on classes of function spaces known as ...appropriate class of approximating identities, we provide necessary axioms and define function spaces where ...
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Hypersingular integral operators on modulation spaces for 0<p<1
... 3 Proof of the main results In this section, we will prove our main results. Firstly, we come to the proof of Theorem .. Proof of Theorem . Our convolution operator T, which is defined by Tf (x) = (K α ∗ f ...
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Partial Sums For Class Of Analytic Functions Defined By Integral Operator
... the class of analytic functions involving generalized integral operator, which is defined by means of a general Hurwitz Lerch Zeta function denoted by ℑ s b α , f z ( ) with negative ...
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A class of analytic functions based on an extension of generalized Salagean operator
... Further we recall the well-known subclasses of S, the class consisting of functions starlike of order α (0 ≤ α < 1) denoted by S ∗ (α ) and convex of order α(0 ≤ α < 1), denoted by K(α). For convenience, we ...
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On a modification of the Poisson integral operator
... Poisson integral operator In memory of Professor Jan Krzyż ...Poisson integral operator in the case of the unit disk ...Poisson integral of f provided γ is the identity mapping on ...
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A New General Multivalent Integral Operator
... Marouf, A certain class of multivalent prestarlike functions, involving the Srivastava-Saigo-Owa fractional integral operator, Kyungpook Math.. Breaz, Some properties of a general integ[r] ...
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An operator extension of Cartwright-field inequality
... Let T be a locally compact Hausdorff space, and let A be a C ∗ -algebra of op- erators on a Hilbert space H. We say that a field (A t ) t∈T of operators in A is continuous if the function t → A t is a norm continuous on ...
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Some Properties for Certain General Integral Operator
... the class of analytic functions defined in the open unit disk of the complex plane and we study some properties for an integral operator on these ...
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On a Multiple Hilbert Type Integral Operator and Applications
... Hilbert-type integral operator with the norm is considered, which is an extension of the result in ...Hilbert-type integral inequality and the equivalent form, the reverses, and some ...
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Some properties of an integral operator defined by convolution
... convolution, integral operators 1. Introduction Let A denote the class of analytic function satisfying the condition f(0) = f ’ (0) - 1 = 0 in the open unit disc U = {z : | z |< 1} ...
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Integral forms in vertex operator algebras, a survey
... G-invariant integral form where G has the form 2 r .O(L), a downward extension of the isometry group O(L) of the lattice L by an elementary abelian group of order 2 r ...the integral form: it is ...
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Selberg integral involving a extension of the Hurwitz-Lerch Zeta function , a class of polynomial and the multivariable I-functions
... Selberg integral involving the product of two multivariable I-functions defined by Nambisan et al [3], a extension of the Hurwitz-Lerch Zeta function and a general class of polynomials of several ...
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Weighted boundedness of a multilinear operator associated to a singular integral operator with general kernels
... an extension of the Lebesgue space, it is natural and important to study the boundedness of the operator on the Morrey spaces (see ...singular integral operators as follows (see ...
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Approximate Solution and its Convergence Analysis for Hypersingular Integral Equations
... IntroductIon Hypersingular integral equations play a vital role in the field of aeronautics 1-3 ...These integral equations occur during the formulation of interference or interaction problems such ...
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An adaptive two-level method for hypersingular integral equations in R 3
... Abstract In this paper an a posteriori error estimate for hypersingular inte- gral equations is derived by using hierarchical basis techniques. Based on the properties of a two-level additive Schwarz method easily ...
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On a Generalized Integral Operator
... several integral operators from literature and we have made a generalization of ...known integral operators (see [3]) into one single integral operator, called I 1 (z), in Section 3 of this ...
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On an integral operator on the unit ball in
... Stevo Stevi´c: Mathematical Institute of Serbian Academy of Sciences and Arts, Knez Mihailova 35/I, 11000 Beograd, Serbia. E-mail addresses : [email protected] ; [email protected].[r] ...
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A Univalence Preserving Integral Operator
... Recommended by Vijay Gupta We define an integral operator denoted by I, and we give sufficient conditions such that F I f 1 , f 2 , . . . , f m is univalent. Copyright q 2008 Georgia Irina Oros. This is an ...
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Stress intensity factor for multiple cracks in an infinite plate using hypersingular integral equations
... studied. Hypersingular integral equations (hieq) for the cracks are formulated using the complex potential ...or hypersingular kernels, we are using the appropriate quadrature formulas to solve and ...
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An operator extension of čebyšev inequality
... φ g 2 (A) − φ 2 (g (A)) where A is a self-adjoint and compact operator on B (H ), f, g ∈ C (sp (A)) continuous and non-negative functions and φ : B ( H ) → B ( H ) be a n-normalized bounded positive linear map. In ...
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