Denseness of the spaces ΦV of Lizorkin type in the mixed Lp̅(ℝn)-spaces
Samko, Stefan
Studia Mathematica, Tome 113 (1995), p. 199-210 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216170 
@article{bwmeta1.element.bwnjournal-article-smv113i3p199bwm,
     author = {Stefan Samko},
     title = {Denseness of the spaces $Ph\_V$ of Lizorkin type in the mixed $L^{p}(R^n)$-spaces},
     journal = {Studia Mathematica},
     volume = {113},
     year = {1995},
     pages = {199-210},
     zbl = {0863.46025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv113i3p199bwm}
}

Samko, Stefan. Denseness of the spaces $Φ_V$ of Lizorkin type in the mixed $L^{p̅}(ℝ^n)$-spaces. Studia Mathematica, Tome 113 (1995) pp. 199-210. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv113i3p199bwm/

[00000] [1] A. Benedek and R. Panzone, The spaces LP, with mixed norm, Duke Math. J. 28 (1961), 302-324. | Zbl 0107.08902

[00001] [2] O. V. Besov, V. P. Il'in and S. M. Nikol'skiĭ, Integral Representations of Functions and Embedding Theorems, Nauka, Moscow, 1975 (in Russian); English transl.: Scripta Series in Math., Winston and Halsted Press, 1979.

[00002] [3] S. Helgason, The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds, Acta Math. 113 (1965), 153-180. | Zbl 0163.16602

[00003] [4] S. Helgason, The Radon Transform, Birkhäuser, Boston, 1980. | Zbl 0453.43011

[00004] [5] P. I. Lizorkin, Generalized Liouville differentiation and the function spaces Lpr(En). Embedding theorems, Mat. Sb. 60 (1963), 325-353 (in Russian). | Zbl 0134.31703

[00005] [6] P. I. Lizorkin, Generalized Liouville differentiation and multipliers method in the embedding theory of spaces of differentiable functions, Trudy Mat. Inst. Steklov. 105 (1969), 89-167 (in Russian). | Zbl 0204.43705

[00006] [7] B. Muckenhoupt, R. L. Wheeden and W.-S. Young, L2 multipliers with power weights, Adv. in Math. 49 (1983), 170-216. | Zbl 0521.42012

[00007] [8] S. G. Samko, The spaces Lp,rα(ℝn) and hypersingular integrals, Studia Math. 61 (1977), 193-230 (in Russian). | Zbl 0367.47029

[00008] [9] S. G. Samko, On test functions vanishing on a given set and on division by functions, Mat. Zametki 21 (1977), 677-689 (in Russian). | Zbl 0362.46030

[00009] [10] S. G. Samko, On denseness of the Lizorkin type spaces ΦV in Lp(ℝn), ibid. 31 (1982), 855-865 (in Russian).

[00010] [11] S. G. Samko, Hypersingular Integrals and their Applications, Rostov University Publ. House, Rostov-on-Don, 1984 (in Russian). | Zbl 0577.42016

[00011] [12] S. G. Samko, A. A. Kilbas and O. I. Marichev, Fractional Integrals and Derivatives and Some of their Applications, Nauka i Tekhnika, Minsk, 1987 (in Russian); English transl.: Gordon and Breach Sci. Publ., 1993.

[00012] [13] E. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, N.J., 1970. | Zbl 0207.13501