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- Title
Boundedness of Generalized Fractional Integral Operators From the Morrey Space L<sub>1,φ</sub>(X;μ) to the Campanato Space L<sub>1,ψ</sub>(X;μ) Over Non-doubling Measure Spaces.
- Authors
Hakim, D. I.; Sawano, Y.; Shimomura, T.
- Abstract
The present paper supplements our earlier works. Our goal in the present paper is to establish the boundedness of generalized fractional integral operators from the Morrey space L1,φ(X;μ) to the Campanato space L1,ψ(X;μ) over non-doubling measure spaces (X, d, μ). What is new in the present paper is that μ satisfies a minimal condition; 0 = μ({x}) < μ(B(x,r)) < ∞ for all x ε X and r > 0. We first, review some elementary facts on the fractional integral operators, generalized Morrey spaces, and analysis on metric measure spaces.
- Subjects
RIESZ spaces; FRACTIONAL integrals; INTEGRAL operators
- Publication
Azerbaijan Journal of Mathematics, 2016, Vol 6, Issue 2, p117
- ISSN
2218-6816
- Publication type
Article