ON GENERALIZED FRACTIONAL INTEGRAL OPERATORS

By Eridani, Hendra Gunawan, E. Nakai. 2004

68 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/45d3ff6643d7ebd07f1d8305b115da7845b0563e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Yoshihiro Sawano
2. E. Nakai
3. Vagif S. Guliyev
4. Eridani
5. S. Samko
6. Y. Mizuta
7. Dachun Yang
8. Hendra Gunawan

Citations in the corpus

• Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces (2010, background): “Generalized Morrey spaces of such a kind in the case of constant p were studied in [4], [13], [26], [28], [30], [31].”
• A Thought on Generalized Morrey Spaces (2018, background): “See [17, 50, 51, 71, 120, 121] for the study of the boundedness of Iρ.”
• Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials (2010, background): “For the boundedness of Iρf , we also refer the reader to [14, 15, 7, 6, 17].”
• Fractional Integrals and Generalized Olsen Inequalities (2009, result): “Recent results on Tρ can be found in [5], [6], [7], [17], [18], [19].”
• Orlicz–Morrey spaces and the Hardy–Littlewood maximal function (2008, background): “For generalized fractional integral operators, see also [32, 23, 24, 25, 6, 7, 11, 8].”
• Weighted Hardy and potential operators in the generalized Morrey spaces (2011, unknown): “On a non-weighted p → q-boundedness of potential operators in the generalized Morrey spaces Potential operators in the non-weighed setting were studied in [12,14,15,17,23,28,40].”
• Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces (2011, background): “By use of the other function spaces that cover the Lebesgue spaces, the theory of the generalized fractional integral operator Tρ has been developed by many authors who have focused their interest mainly on giving the sufficient conditions in order to obtain the boundedness of Tρ on those spaces (se”
• Characterizations For The Generalized Fractional Integral Operators On Morrey Spaces (2014, background): “Here to highlight what we shall prove in this paper, we take up the works [2, 4, 5, 7, 11, 12, 15, 22].”