Local Complements to the Hausdorff-Young Theorem for Amalgams
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 325-333

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Let G be a locally compact abelian group. An amalgam space (Lp lq)(G) (1 ≦ p,q ≦ ∞) is a Banach space of functions which belong locally to LP(G) and globally to lq. In this paper we present noninclusion results related to the Hausdorff-Young theorem for amalgams.
DOI : 10.4153/CMB-1987-046-3
Mots-clés : 43A15, 43A25
Squire, Maria L. Torres de. Local Complements to the Hausdorff-Young Theorem for Amalgams. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 325-333. doi: 10.4153/CMB-1987-046-3
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[1] 1. Bertrandias, J.P. and Dupuis, C., Transformations de Fourier sur les espaces ℓp(LP'), Ann. Inst. Fourier, Grenoble 29, 1 (1979), pp. 189–206. Google Scholar

[2] 2. Bertrandias, J.P., Dupuis, C. and Datry, C., Unions et intersections d'espaces Lp invariantes par Translation ou Convolution, Ann. Inst. Fourier, Grenoble 28, 2 (1978), pp. 53–84. Google Scholar

[3] 3. Bloom, W., Strict local inclusion results between spaces of Fourier transforms, Pac. J. Math. 99, 2 (1982), pp. 265–270. Google Scholar

[4] 4. Busby, R.C. and Smith, H.A., Product-convolution operators and mixed-normed spaces, Trans. Amer. Math. Soc. 263, 2 (1981), pp. 309–341. Google Scholar

[5] 5. Fournier, J.J.F., Local complements to the Hausdorjf-Young Theorem, Michigan Math. J. 20 (1973), pp. 263–276. Google Scholar

[6] 6. Fournier, J.J.F., On the Hausdorjf-Young Theorem for amalgams, Mh. Math. 95 (1983), pp. 117–135. Google Scholar

[7] 7. Fournier, J.J.F., Lacunarity for amalgams, (preprint). Google Scholar

[8] 8. Fournier, J.J.F. and Stewart, J., Amalgams for Lp and ℓq , Bull. Am. Math. Soc. 13(1985), pp. 1–21. Google Scholar

[9] 9. Hewitt, E. and Ross, K.A., Abstract Harmonic Analysis, v. I, II, Springer-Verlag, 1970, 1979. Google Scholar

[10] 10. Holland, F., Harmonic analysis on amalgams of Lp and Lq , J. London Math. Soc. (2) 10 (1975), pp. 295–305. Google Scholar

[11] 11. Rudin, W., Real and Complex Analysis, McGraw Hill Inc., New York, 1974. Google Scholar

[12] 12. Stewart, J., Fourier transform of unbounded measures, Can. J. Math. 31 (1979), pp. 1281 — 1292. Google Scholar

[13] 13. Squire, M. L. Torres de, Amalgams of Lp and ℓq, Ph.D. Thesis, McMaster University, 1984. Google Scholar

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