An analog of Young’s inequality for convolutions of functions for general Morrey-type spaces

Author:

Burenkov V. I.,Tararykova T. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference38 articles.

1. O. V. Besov, V. P. Il’in, and S. M. Nikol’skii, Integral Representations of Functions and Embedding Theorems, 2nd ed. (Nauka, Moscow, 1996) [in Russian]; Engl. transl. of the 1st ed.: Integral Representations of Functions and Embedding Theorems (J. Wiley & Sons, New York, 1978, 1979).

2. V. I. Burenkov, “Sharp estimates for integrals over small intervals for functions possessing some smoothness,” in Progress in Analysis: Proc. 3rd Int. ISAAC Congr., Berlin, 2001 (World Sci., River Edge, NJ, 2003), Vol. 1, pp. 45–56.

3. V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. I, II,” Eurasian Math. J. 3 (3), 8–27 (2012); 4 (1), 21–45 (2013).

4. V. I. Burenkov and W. D. Evans, “The weight Hardy inequality for differences and the complete continuity of the embedding of Sobolev spaces for domains with arbitrary strong degeneracy,” Dokl. Akad. Nauk 355 (5), 583–585 (1997) [Dokl. Math. 56 (1), 565–567 (1997)].

5. V. I. Burenkov and W. D. Evans, “Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness,” J. London Math. Soc., Ser. 2, 57 (1), 209–230 (1998).

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