This is a preview of subscription content, log in via an institution to check access.
References
Akhiezer, N.I., Glazman, I.M.: Theory of linear operators in Hilbert space, vol. 1. New York: Ungar 1961.
Dunford, N., Schwartz, J.T.: Linear operators. PartII: Spectral theory. New York: Interscience 1963.
Everitt, W.N., Giertz, M.: Some properties of the domains of certain differential operators. Proc. London Math. Soc. (3)23, 301–324 (1971).
Everitt, W.N.: On an extension of an integro-differential inequality of Hardy, Littlewood and Polya. Proc. Roy. Soc. Edinburgh. (A)69, 295–333 (1971/72).
Hardy, G.H., Littlewood, J.E., Polya, G.: Inequalities. Cambridge: University Press 1934.
Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966.
Naimark, M.A.: Linear differential operators, Part II. New York: Ungar 1968.
Rudin, W.: Principles of mathematical analysis. New York: McGraw-Hill 1964.
Titchmarsh, E.C.: Eigenfunction expansions associated with second-order differential equations; Part I, 2nd ed. Oxford University Press 1962.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Everitt, W.N., Giertz, M. Some inequalities associated with certain ordinary differential operators. Math Z 126, 308–326 (1972). https://doi.org/10.1007/BF01110336
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01110336