39 citations · 39 across the 4 of their papers we have counts for
4 papers
A new approach to interpolation of compact linear operators
Evgeniy Pustylnik
We prove an abstract theorem on keeping the compactness property of a linear operator after interpolation in Banach spaces. Our approach consists of two features. Applying the prin…
General Theorem on Interpolation of Compact Operators
Evgeniy Pustylnik
We prove an abstract theorem on keeping the compactness property of a linear operator after interpolation in Banach spaces. No analytical presentation of operators, spaces and inte…
A short proof of solution formulas for the linear differential equations with constant coefficients
Evgeniy Pustylnik
The solution of equations from the title is well known since the Euler's time. However, its proof in the case of multiple roots of the characteristic polynomial is rather long and…
Sobolev Inequalities: Symmetrization and Self Improvement via Truncation
Joaquim Martin, Mario Milman, Evgeniy Pustylnik
We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of…