Professor Eugene Shargorodsky Academics Supervisors Professor in Analysis Research subject areas Mathematics Contact details +44 020 7848 1379 eugene.shargorodsky@kcl.ac.uk
Minimality of the Riesz projection among projections onto abstract Hardy spaces and related topics On the essential norms of Toeplitz operators with symbols in $C+H^\infty$ acting on abstract Hardy spaces built upon translation-invariant Banach function spaces The essential norms of Toeplitz operators with symbols in $C+H^\infty$ on weighted Hardy spaces are independent of the weights On the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spaces A remark on piecewise linear interpolation of continuous Fourier multipliers On Dilations of Fourier Multipliers on Weighted Lebesgue Spaces On the full range of Zippin and inclusion indices of rearrangement-invariant spaces The Liouville theorem for a class of Fourier multipliers and its connection to coupling An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions Bounded compact and dual compact approximation properties of Hardy spaces: new results and open problems Asymptotic analysis of fundamental solutions of hypoelliptic operators When are the norms of the Riesz projection and the backward shift operator equal to one? A remark on Toeplitz and Laurent operators acting on $\ell^p$ spaces with power weights Bounded compact and dual compact approximation properties of Hardy spaces: new results and open problems Toeplitz Operators with Non-trivial Kernels and Non-dense Ranges on Weak Hardy Spaces Sharp estimates for conditionally centered moments and for compact operators on LP spaces The Coburn lemma and the Hartman-Wintner-Simonenko theorem for Toeplitz operators on abstract Hardy spaces Addendum to "On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded" Discrete Riesz transforms on rearrangement-invariant Banach sequence spaces and maximally noncompact operators Remark on singular integral operators of convolution type on rearrangement-invariant Banach function spaces On the essential norms of singular integral operators with constant coefficients and of the backward shift On the interpolation constants for variable Lebesgue spaces On the weak convergence of shift operators to zero on rearrangement-invariant spaces Toeplitz operators with non-trivial kernels and non-dense ranges on weak Hardy spaces On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded On the essential norms of singular integral operators with constant coeffcients and of the backward shift Eigenvalue Asymptotics for Weighted Polyharmonic Operator with a Singular Measure in the Critical Case On an analogue of a theorem by Astala and Tylli Sharp estimates for conditionally centred moments and for compact operators on $L^p$ spaces A lower estimate for weak-type Fourier multipliers Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case Algebras of Convolution Type Operators with Continuous Data do Not Always Contain All Rank One Operators An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case An estimate for narrow operators on Lp([0 , 1]) On the essential norms of Toeplitz operators with continuous symbols Multiplication Is An Open Bilinear Mapping in the Banach Algebra of Functions of Bounded Wiener p-Variation On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials Counting negative eigenvalues of one-dimensional Schrödinger operators with singular potentials The Brown-Halmos Theorem for a Pair of Abstract Hardy Spaces Some remarks on the boundedness of pseudodifferential operators An algebra of integral operators with fixed singularities in kernels Quantitative results on continuity of the spectral factorization mapping When does the norm of a Fourier multiplier dominate its L∞ norm? More on the density of analytic polynomials in abstract Hardy spaces Quantitative results on continuity of the spectral factorization mapping in the scalar case Extension of the unit normal vector field from a hypersurface Level Sets of The Resolvent Norm of a Linear Operator Revisited On the Amick-Fraenkel conjecture View all publications