Fractional type operators in weighted generalized Hölder spaces.
Samko, S.G., Mussalaeva, Z.U. (1994)
Georgian Mathematical Journal
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Displaying similar documents to “LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators”
Fractional type operators in weighted generalized Hölder spaces.
On Multidimensional Analogue of Marchaud Formula for Fractional Riesz-Type Derivatives in Domains in R^n
Rafeiro, Humberto, Samko, Stefan (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 26A33, 42B20 There is given a generalization of the Marchaud formula for one-dimensional fractional derivatives on an interval (a, b), −∞ < a < b ≤ ∞, to the multidimensional case of functions defined on a region in R^n
Inclusion Properties for Certain Classes of Analytic Functions Involving a Family of Fractional Integral Operators
Kishore Prajapat, Jugal (2008)
Fractional Calculus and Applied Analysis
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2000 Math. Subject Classification: 30C45 A known family of fractional integral operators is used here to define some new subclasses of analytic functions in the open unit disk U. For each of these new function classes, several inclusion relationships are established.
The Stein-Weiss Type Inequality for Fractional Integrals, Associated with the Laplace-Bessel Differential Operator
Gadjiev, Akif, Guliyev, Vagif (2008)
Fractional Calculus and Applied Analysis
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2000 Math. Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B -Riesz potentials) generated by the Laplace-Bessel differential operator ∆B. * Akif Gadjiev’s research is partially supported by the grant of INTAS (project 06-1000017-8792) and Vagif Guliyev’s research is partially supported by the grant of the Azerbaijan–U.S. Bilateral Grants Program II (project ANSF Award / 16071) and by the grant of INTAS (project...
On a symbol class of elliptic pseudodifferential operators
S. Pilipović, N. Teofanov (2002)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Positive solutions for boundary value problem of nonlinear fractional differential equation.
Qiu, Tingting, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic.
Babenko, Vladislav F., Churilova, Mariya S. (2007)
Banach Journal of Mathematical Analysis [electronic only]
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On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations.
Kokilashvili, V., Meskhi, A. (2001)
Georgian Mathematical Journal
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Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω
Karapetyants, Nikolai, Samko, Natasha (2004)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A16, 26A33, 46E15. There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of their continuity modulus.
Linear fractional program under interval and ellipsoidal uncertainty
Maziar Salahi, Saeed Fallahi (2013)
Kybernetika
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In this paper, the robust counterpart of the linear fractional programming problem under linear inequality constraints with the interval and ellipsoidal uncertainty sets is studied. It is shown that the robust counterpart under interval uncertainty is equivalent to a larger linear fractional program, however under ellipsoidal uncertainty it is equivalent to a linear fractional program with both linear and second order cone constraints. In addition, for each case we have studied the dual...