Syarat Perlu dan Cukup untuk Keterbatasan Potensial Riesz di Ruang Morrey Klasik

Mohammad Imam Utoyo, Basuki Widodo, Toto Nusantara, Suhariningsih Suhariningsih

Abstract


This script was aimed to determine the necessary conditions for boundedness of Riesz potential in the classical Morrey space. If these results are combined with previous research results will be obtained the necessary and sufficient condition for boundedness of Riesz potential. This necessary condition is obtained through the use of characteristic function as one member of the classical Morrey space.


Keywords


boundedness, classical Morrey space, Riesz potential

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References


Chiarenza, F & Fraca, M. 1987, Morrey spaces and hardy- littlewood maximal functions. Rend Mat 7: 273-279.

Duoandikoetxea, J. 2001. Fourier Analysis, Graduate Studies in Mathematics, Vol. 29. Providence, Rhode Island: American Mathematical Society.

Edmunds, D., Kokilashvili, V & Meskhi, A. 2002. Bounded and compactIntegral operator, mathematics and its applications, 543, kluwer academics publisher, dordrecht. The Netherlands 24: 367-371, 377-379.

Eridani, Kokilashvill, V & Meskhi, A. 2009, Morrey space and fractional integral operators. Expo Math 27(3): 227- 239.

Krantz & Steven G. 1999. A Panorama of Harmonic Analysis. Washington: The Mathematical Association of America.

Nakai, E. 1994. Hardy-littlewood maximal operator, singular integral operators and the riesz potensials on generalized morrey space. Math Nacr 166: 95-103.

Peetre, J. 1969. On the theory of spaces. J Funct Anal 4:71-87.




DOI: http://dx.doi.org/10.31258/jni.14.3.%25p

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