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Displaying similar documents to “Some properties of composition operators on the Dirichlet space.”

Some fractional integral formulas for the Mittag-Leffler type function with four parameters

Praveen Agarwal, Juan J. Nieto (2015)

Open Mathematics

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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.

Weighted norm inequalities for multilinear fractional operators on Morrey spaces

Takeshi Iida, Enji Sato, Yoshihiro Sawano, Hitoshi Tanaka (2011)

Studia Mathematica

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A weighted theory describing Morrey boundedness of fractional integral operators and fractional maximal operators is developed. A new class of weights adapted to Morrey spaces is proposed and a passage to the multilinear cases is covered.

Essential normality for certain finite linear combinations of linear-fractional composition operators on the Hardy space H 2

Mahsa Fatehi, Bahram Khani Robati (2012)

Czechoslovak Mathematical Journal

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In 1999 Nina Zorboska and in 2003 P. S. Bourdon, D. Levi, S. K. Narayan and J. H. Shapiro investigated the essentially normal composition operator C ϕ , when ϕ is a linear-fractional self-map of 𝔻 . In this paper first, we investigate the essential normality problem for the operator T w C ϕ on the Hardy space H 2 , where w is a bounded measurable function on ∂ 𝔻 which is continuous at each point of F ( ϕ ) , ϕ ∈ 𝒮 ( 2 ) , and T w is the Toeplitz operator with symbol w . Then we use these results and characterize the essentially...

On a class of abstract degenerate fractional differential equations of parabolic type

Marko Kostić (2018)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we investigate a class of abstract degenerate fractional differential equations with Caputo derivatives. We consider subordinated fractional resolvent families generated by multivalued linear operators, which do have removable singularities at the origin. Semi-linear degenerate fractional Cauchy problems are also considered in this context.

Hybrid fractional integro-differential inclusions

Sotiris K. Ntouyas, Sorasak Laoprasittichok, Jessada Tariboon (2015)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper we study an existence result for initial value problems for hybrid fractional integro-differential inclusions. A hybrid fixed point theorem for a sum of three operators due to Dhage is used. An example illustrating the obtained result is also presented.

Fractional Powers of Almost Non-Negative Operators

Martínez, Celso, Sanz, Miguel, Redondo, Antonia (2005)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: Primary 47A60, 47D06. In this paper, we extend the theory of complex powers of operators to a class of operators in Banach spaces whose spectrum lies in C ]−∞, 0[ and whose resolvent satisfies an estimate ||(λ + A)(−1)|| ≤ (λ(−1) + λm) M for all λ > 0 and for some constants M > 0 and m ∈ R. This class of operators strictly contains the class of the non negative operators and the one of operators with polynomially bounded resolvent....