Article PDF
Avoid common mistakes on your manuscript.
References
Adams, D. R., Lectures onL p-potential theory,Department of Math., Univ. of Umeå (1981).
Adams, D. R. andMeyers, N. G., Bessel potentials. Inclusion relations among classes of exceptional sets,Indiana Univ. Math. J. 22 (1973), 873–905.
Adams, D. R. andPolking, J. C., The equivalence of two definitions of capacity,Proc. Amer. Math. Soc. 37 (1973), 529–534.
Adams, R. A.,Sobolev spaces, Academic Press, New York, 1975.
Aronszajn, N., Mulla, F. andSzeptycki, P., On spaces of potentials connected withL p classes,Ann. Inst. Fourier 13:2 (1963), 211–306.
Bagby, T. andZiemer, W. P., Pointwise differentiability and absolute continuity,Trans. Amer. Math. Soc. 191 (1974), 129–148.
Calderón, A. P. andZygmund A., Local properties of solutions of elliptic partial differential equations,Studia Math. 20 (1961), 171–225.
Calderón, C. P., Fabes, E. B. andRivière, N. M., Maximal smoothing operators,Indiana Univ. Math. J. 23 (1974), 889–897.
Deignan, D. J. andZiemer, W. P., Strong differentiability properties of Bessel potentials,Trans. Amer. Math. Soc. 225 (1977), 113–122.
Federer, H.,Geometric measure theory, Springer-Verlag, Berlin-Heidelberg, 1969.
Meyers, N. G., A theory of capacities for potentials of functions in Lebesgue classes,Math. Scand. 26 (1970), 255–292.
Meyers, N. G., Taylor expansions of Bessel potentials,Indiana Univ. Math. J. 23 (1974), 1043–1049.
Neugebauer, C. J., Strong differentiability of Lipschitz functions,Trans. Amer. Math. Soc. 240 (1978), 295–306.
Peetre, J., On the theory ofL p, λ spaces,J. Funct. Anal. 4 (1969), 71–87.
Sjödin, T., On ordinary differentiability of Bessel potentials,Department, of Math., Univ. of Umeå (1980).
Stein, E. M.,Singular integrals and differentiability properties of functions Princeton, 1970.
Stocke, B. M., Differentiability of Bessel potentials,Department of Math., Univ. of Umeå (1981).
Stocke, B. M. Differentiability of functions in Besov spaces,Department of Math, Univ. of Umeå (1981).
Taibleson, M. H., On the theory of Lipschitz spaces of distributions of Euclideann-space. I. Principal properties,J. Math. Mech. 13 (1964), 407–479.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Stocke, BM. Differentiability properties of Bessel potentials and Besov functions. Ark. Mat. 22, 269–286 (1984). https://doi.org/10.1007/BF02384383
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02384383