Keterbatasan Perumuman Operator Integral Fraksional di Ruang Lebesgue pada Ruang Kuasi Metrik tak Homogen
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Abstract
Pada makalah ini dikaji tentang syarat cukup dan syarat perlu untuk keterbatasan perumuman operator integral fraksional di ruang Lebesgue pada ruang kuasi metrk non homogen. Pembuktian syarat cukup yang diperoleh adalah dengan menggunakan ketaksamaan Holder, ketaksamaan Minskowski, dan keterbatasan operator maksimal di Ruang Lebesgue. Syarat perlu keterbatasan operator yang dihasilkan bukan merupakan syarat cukup.
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How to Cite
Utoyo, M. I., & Nusantara, T. (2017). Keterbatasan Perumuman Operator Integral Fraksional di Ruang Lebesgue pada Ruang Kuasi Metrik tak Homogen. PRISMA, Prosiding Seminar Nasional Matematika, 623-631. Retrieved from http://journal.unnes.ac.id/sju/prisma/article/view/21550
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References
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Eridani, Gunawan H., & Nakai E. 2004. On Generalized Fractional Integral Operator, Scientiae Mathematicae Japonicae, 60(3): 539–550 :e10, 307–318
Eridani, Kokilashvill V., & Meskh, A. 2009. Morrey Space and Fractional Integral Operators, Expo.Math. 27(3): 227–239.
Evans L. 1998. Partial Differential Equations. Graduate Studies in Math., 19, AMS, Providence, Rhode Island, 20-23.
Folland G.B. 1999. Real Analysis, Modern Techniques and Their Applications, second Edition, John Wiley and Sons Inc., New York, 208.
Utoyo M.I. 2011. Fractional integral operator and Olsen inequalities in Morrey space on non-homogeneous spaces. Internat. J. Functional Analysis, Operator Theory and Applications 4(1).
Utoyo M.I. 2012a. Fractional integral operator and Olsen inequalities in weighted Morrey space on non-homogeneous spaces, Far East Journal of Mathematical Sciences (FJMS) 66(1): 45-62.
Utoyo M.I, Nusantara T., Widodo B., & Suhariningsih. 2012d. Fractional integral operator on non-homogeneous space and Olsen inequality in the classic Morrey space on non-homogeneous space. Int. Journal of Math. Analysis 6(31): 1501 - 1511.
Utoyo M.I. 2012e. Fractional integral operator and Olsen inequalities in weighted Morrey space on non-homogeneous spaces. Far East Journal of Mathematical Sciences (FJMS) 66(1): 45-62.