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Evgeniy Pustylnik

Technion – Israel Institute of Technology

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Communications in Contemporary Mathematics | 2004

ON SHARP HIGHER ORDER SOBOLEV EMBEDDINGS

Mario Milman; Evgeniy Pustylnik

Let Ω be an open domain in ℝn, let k∈ℕ,

Journal of Functional Analysis | 2007

Sobolev inequalities: Symmetrization and self-improvement via truncation☆

Joaquim Martín; Mario Milman; Evgeniy Pustylnik

p\le \frac{n}{k}

Journal D Analyse Mathematique | 1999

Optimal interpolation in spaces of Lorentz-Zygmund type

Evgeniy Pustylnik

. Using a natural extension of the L(p, q) spaces and a new form of the Polya–Szego symmetrization principle, we extend the sharp version of the Sobolev embedding theorem:

Journal of Approximation Theory | 2012

Full length article: Convergence of non-periodic infinite products of orthogonal projections and nonexpansive operators in Hilbert space

Evgeniy Pustylnik; Simeon Reich; Alexander J. Zaslavski

W_0^{k, p} (\Omega)\subset L (\frac{np}{n -kp}, p) to the limiting value

Journal of Function Spaces and Applications | 2006

New classes of rearrangement-invariant spaces appearing in extreme cases of weak interpolation

Evgeniy Pustylnik; Teresa Signes

p =\frac{n}{k}

Mathematical Proceedings of the Cambridge Philosophical Society | 2002

On strictly singular and strictly cosingular embeddings between Banach lattices of functions

Fernando Cobos; Evgeniy Pustylnik

. This result extends a recent result in [3] for the case k=1. More generally, if Y is a r.i. space satisfying some mild conditions, it is shown that

Positivity | 2002

Some Extensions of Optimal Interpolation in Spaces of Lorentz–Zygmund Type

Evgeniy Pustylnik

W_0^{k, Y} (\Omega)\subset Y_n (\infty, k) =\{f: t^{-k/n}(f^{\ast\ast} (t)-f^\ast (t))\in Y\}

Numerical Functional Analysis and Optimization | 2009

Inexact Infinite Products of Nonexpansive Mappings

Evgeniy Pustylnik; Simeon Reich; Alexander J. Zaslavski

. Moreover Yn(∞,k) is not larger (and in many cases essentially smaller) than any r.i. space X(Ω) such that

Proceedings of the Royal Society of Edinburgh: Section A Mathematics | 2002

Some Interpolation Results that are the Exclusive Property of Compact Operators

Fernando Cobos; Luz M. Fernández-Cabrera; Antón Martínez; Evgeniy Pustylnik

W_0^{k, Y} (\Omega)\subset X (\Omega)

Fixed Point Theory and Applications | 2008

Convergence to Compact Sets of Inexact Orbits of Nonexpansive Mappings in Banach and Metric Spaces

Evgeniy Pustylnik; Simeon Reich; Alexander J. Zaslavski

. This result extends, complements, simplifies and sharpens recent results in [10].

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