Criteria for the Boundedness and Complete Continuity of Certain Imbedding Operators
The question of boundedness (compactness) of the imbedding of classes of smooth functions in a space of functions integrable with respect to some measure arises in many problems of spectral theory.
KeywordsSingular Boundary Imbed Theorem Complete Continuity Special Sphere Finite Cardinality
Unable to display preview. Download preview PDF.
- 2.I. M. Glazman, Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, Fizmatgiz, Moscow (1963).Google Scholar
- 3.M. Sh. Birman and B. S. Pavlov, “On the complete continuity of some imbedding operators,” Vesnik LGU, seriya mat., No. 1, Issue 1 (1961).Google Scholar
- 4.G. Hardy, J. Littlewood, and G. Polya, Inequalities, Second Ed., Cambridge (1954).Google Scholar
- 5.V. I. Smirnov, A Course of Higher Mathematics, Vol. 5, Fizmatgiz, Moscow (1960).Google Scholar