Non interpolation in Morrey-Campanato and block spaces

 Access to full text

 Full (PDF)

1. [A] J. Alvarez, Continuity of Calderon-Zygmund type operators on the predual of a Morrey space, To appear in the Proc. of "Clifford Algebras in Analysis", Studies in Advanced Math., CRC Press. Zbl0842.42008MR1383112
2. [BL] J. Bergh - J. Lofstrom, "Interpolation Spaces", Springer-VerlagNew York, 1976. Zbl0344.46071MR482275
3. [C] S. Campanato, Proprietà di hölderianità di alcune classi difunzioni, Ann. Scuola Norm. Sup. Cl. Sci.17 (1963), 175-188. Zbl0121.29201MR156188
4. [CM] A. Campanato - M.K.V. Murthy, Una generalizzazione del teorema di Riezs-Thorin, Ann. Scuola Norm. Sup. Pisa Cl. Sci.19 (1965), 87-100. Zbl0145.16301MR180860
5. [CS] S. Chanillo - E. Sawyer, Unique continuation for Δ + V and the C. Fefferman-Phong class, Trans. Amer. Math. Soc.318 (1990), 275-300. Zbl0702.35034
6. [ChR] F. Chiarenza - A. Ruiz, Uniform l2-weighted Sobolev inequalities, Proc. Amer. Math. Soc.112 (1991), 53-64. Zbl0745.35007MR1055768
7. [FP] C. Fefferman - D.H. Phong, Lower bounds for Schrödinger equations, J. Eq. aux Derivees Partielles. Saint Jean de Monts. Soc. Mat. de France, 1982. Zbl0492.35057MR672274
8. [K] C. Kenig, Restriction theorems, Carleman Estimates, Uniform Sobolev inequalities and unique continuation, Proceedings of Harmonic Analysis and PDEs, 69-91. E1 Escorial, 1987. Lectures Notes in Math. 1384. Zbl0685.35003MR1013816
9. [Ku] A. Kufner - O. John - S. Fucik, "Function Spaces". Noordhoff International Publishing, Leyden, 1977. Zbl0364.46022MR482102
10. [M] G.N. Meyers, Mean oscillation over cubes and Hölder continuity, Proc. Amer. Math. Soc.15 (1964), 717-721. Zbl0129.04002MR168712
11. [P] J. Peetre, On the theory of ,Lp,λ Spaces, J. Funct. Anal.4 (1969), 71-87. Zbl0175.42602
12. [RV1] A. Ruiz - L. Vega, Unique continuation for the solutions of the Laplacian plus a drift, Ann. Inst. Fourier (Grenoble) 41, 3 (1991), 651-663. Zbl0772.35008MR1136598
13. [RV2] A. Ruiz - L. Vega, Local regularity of solutions to wave equations with time-dependent potentials, Duke Math. J.76, 3 (1994), 913-940. Zbl0826.35014MR1309336
14. [RV3] A. Ruiz - L. Vega, Corrigenda to unique ... , and a remark on interpolation on Morrey spaces, Publicacions Matematiques39 (1995), 405-411. Zbl0849.47022MR1370896
15. [Sc] M. Schechter, "Spectra of Partial Differential Operators", second edition, North Holland, 1986. Zbl0607.35005MR869254
16. [SOS] G. Soares De Souza - R. O'Neil - G. Sampson, Several characterization for the special atom spaces with applications, Revista Mat. Iberoamericana2 (1986), 333-355. Zbl0642.46031MR908057
17. [So] F. Soria, Characterizations of classes of functions generated by blocks and associated Hardy Spaces, Indiana Univ. Math. J.34, 3 (1985), 463-491. Zbl0573.42015MR794573
18. [St] G. Stampacchia, L(p,λ) -Spaces and interpolation, Comm. Pure Appl. Math.17 (1964), 293-306. Zbl0149.09201
19. [SteZ] E.M. Stein - A. Zygmund, Boundedness of translation invariant operators on Hölder spaces and Lp -spaces, Ann. Math.85 (1967), 337-349. Zbl0172.40102MR215121
20. [T] M. Taylor, Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations, Comm. Partial Differential Equations17 (1992), 1407-1456. Zbl0771.35047MR1187618
21. [W] T. Wolff, Unique continuation for |Δu| ≤ V |∇u| and related problems, Revista Mat. Iberoamericana6, 3 (1990), 155-200. Zbl0735.35024
22. [Z] C. Zorko, The Morrey space, Proc. Amer. Math. Soc.98 (1986), 586-592. Zbl0612.43003MR861756

1. Ka Luen Cheung, Kwok-Pun Ho, Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent
2. Yi Liu, Wen Yuan, Interpolation and duality of generalized grand Morrey spaces on quasi-metric measure spaces