Fractional powers of non-densely defined operators
Celso Martinez, Miguel Sanz (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Celso Martinez, Miguel Sanz (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Diagana, Toka (2005)
International Journal of Mathematics and Mathematical Sciences
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Hongbin Wang, Chenchen Niu (2024)
Czechoslovak Mathematical Journal
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We introduce a type of -dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and their commutators on central Morrey spaces with variable exponents. Furthermore, the similar definitions and results of multilinear fractional Hardy-type operators with rough kernels are obtained.
Lizaveta Ihnatsyeva, Juha Lehrbäck, Heli Tuominen, Antti V. Vähäkangas (2014)
Studia Mathematica
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We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility condition on the boundary. We demonstrate by counterexamples that fatness conditions alone are not sufficient for such Hardy inequalities to hold. In addition, we give a short exposition of various fatness conditions related to our main result, and apply fractional Hardy inequalities in connection with the boundedness of extension operators for fractional Sobolev spaces.
C.J. NEUGEBAUER (1992)
Forum mathematicum
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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.
Jeff E. Lewis, Cesare Parenti (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. R. Dostanić (1989)
Matematički Vesnik
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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.
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....
Chacón, G.A., Chacón, G.R. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Martinez, C., Sanz, M., Calvo, V. (1989)
International Journal of Mathematics and Mathematical Sciences
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