An abstract version of Herz' imbedding theorem
Rendiconti del Seminario Matematico della Università di Padova, Volume 86  (1991), p. 37-46
@article{RSMUP_1991__86__37_0,
     author = {Meda, Stefano and Pini, Rita},
     title = {An abstract version of Herz' imbedding theorem},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {86},
     year = {1991},
     pages = {37-46},
     zbl = {0767.46032},
     mrnumber = {1154097},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1991__86__37_0}
}
Meda, Stefano; Pini, Rita. An abstract version of Herz' imbedding theorem. Rendiconti del Seminario Matematico della Università di Padova, Volume 86 (1991) , pp. 37-46. http://www.numdam.org/item/RSMUP_1991__86__37_0/

[1] J. Bergh - J. LÖFSTRÖM, Interpolation Spaces, Springer Verlag, Berlin-Heidelberg- New York, 1976. | MR 482275 | Zbl 0344.46071

[2] L. De Michele - I.R. Inglis, Lp estimates for strongly singular integrals on spaces of homogeneous type, J. Funct. Anal., 39 (1980), pp. 1-15. | MR 593784 | Zbl 0461.46039

[3] G.I. Gaudry - R. Pini, Bernstein's theorem for compact connected Lie groups, Math. Proc. Camb. Phil. Soc., 99 (1986), pp. 297-305. | MR 817671 | Zbl 0612.43011

[4] G.I. Gaudry - S. Meda - R. Pini, A heat semigroup version of Bernstein's theorem on Lie groups, Mh. Math., 110 (1990), pp. 101-114. | MR 1076325 | Zbl 0719.43008

[5] S. Giulini, Approximation and Besov spaces on stratified groups, Proc. Amer. Math. Soc., 96 (1986), pp. 569-578. | MR 826483 | Zbl 0605.41013

[6] C. Herz, Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transform, J. Math. Mech., 18 (1968), pp. 283-323. | MR 438109 | Zbl 0177.15701

[7] L. Hörmander, Estimates for translation invariant operators in Lp spaces, Acta Math., 104 (1960), pp. 93-104. | MR 121655 | Zbl 0093.11402

[8] R. Hunt, On L(p, q) spaces, Ens. Math., 12 (1966), pp. 249-275. | MR 223874 | Zbl 0181.40301

[9] I.R. Inglis, Bernstein's theorem and the Fourier algebra of the Heisenberg group, Boll. Un. Mat. It. (VI), 2-A (1983), pp. 39-46. | MR 694742 | Zbl 0528.43008

[10] S. Meda - R. PINI, Lipschitz spaces on compact Lie groups, Mh. Math., 105 (1988), pp. 177-191. | MR 939940 | Zbl 0639.43003

[11] J. Peetre, New Thoughts on Besov Spaces, Duke Univ. Press, 1976. | MR 461123 | Zbl 0356.46038

[12] P.M. Soardi, On nonisotropic Lipschitz spaces, in Lecture Notes in Math., 992, 115-138 Springer Verlag, Berlin-Heidelberg- New York. | MR 729350 | Zbl 0522.46018

[13] E.M. Stein, Singular Integrals and The Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N.J., 1970. | MR 290095 | Zbl 0207.13501

[14] E.M. Stein - G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N.J., 1971. | MR 304972 | Zbl 0232.42007

[15] M.H. Taibleson, On the theory of Lipschitz spaces of distributions on Euclidean n-spaces I, J. Math. Mech., 13 (1964), pp. 407-480. | MR 163159 | Zbl 0132.09402