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ENDPOINT ESTIMATES FOR MULTILINEAR FRACTIONAL INTEGRALS

Published online by Cambridge University Press:  01 June 2008

LIN TANG*
Affiliation:
LMAM, School of Mathematics and Sciences, Peking University, Beijing, 100871, China (email: tanglin@math.pku.edu.cn)
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Abstract

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We study the boundedness for multilinear fractional integrals on spaces as Morrey spaces and Lipschitz spaces.

Type
Research Article
Copyright
Copyright © 2008 Australian Mathematical Society

References

[1]Chiarenza, F. and Frasca, M., ‘Morrey spaces and Hardy–Littlewood maximal function’, Rend. Mat. Appl. 7(3–4) (1987), 273279.Google Scholar
[2]Grafakos, L., ‘On multilinear fractional integrals’, Studia Math. 102 (1992), 4956.CrossRefGoogle Scholar
[3]Grafakos, L. and Kalton, N., ‘Some remarks on multilinear maps and interpolation’, Math. Ann. 319 (2001), 151180.CrossRefGoogle Scholar
[4]Grafakos, L. and Torres, R., ‘Multilinear Calderón–Zygmund theory’, Adv. Math. 165 (2002), 124164.CrossRefGoogle Scholar
[5]Kozono, H. and Yamazaki, M., ‘Semilinear heat equations and the Navier–Stokes equation with distributions in new function spaces as initial data’, Comm. Partial Differential Equations 19 (1994), 9591014.CrossRefGoogle Scholar
[6]Kenig, C. and Stein, E., ‘Multilinear estimates and fractional integration’, Math. Reseach. Letter 6 (1999), 115.CrossRefGoogle Scholar
[7]Peetre, J., ‘On the theory of L p,λ spaces’, J. Funct. Anal. 4 (1969), 7187.CrossRefGoogle Scholar
[8]Stein, E. M., Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals (Princeton University Press, Princeton, NJ, 1993).Google Scholar
[9]Strichartz, R. S., ‘A note on Trudinger’s extension of Sobolev’s inequalities’, Indiana Univ. Math. J. 21 (1972), 841842.CrossRefGoogle Scholar