Research

Papers

A nontrivial variant of Hilbert's inequality, and an application to the norm of the Hilbert matrix on the Hardy-Littlewood spaces (with V. Daskalogiannis, P. Galanopoulos). Available at arXiv:2307.09859.

Sampling and interpolation for analytic self-mappings of the unit disc (with J. I. Monreal Galan). Available at arXiv:2308.00453.

Continuity of weighted estimates for sublinear operators (with N. Pattakos), Bulletin of the Hellenic Mathematical Society, 63 (2019), 50-53. Also at arXiv:1206.4580.

On universality and convergence of the Fourier series of functions in the disc algebra (with Ch. Papachristodoulos), Journal d'Analyse Mathématique, 137 (2019), 57-71. Also at arXiv:1503.03426.

One sided extendability and p-continuous analytic capacities (with E. Bolkas, V. Nestoridis, C. Panagiotis), Journal of Geometric Analysis, 29 (2019), 1369-1406.

Measurable Steinhaus sets do not exist for finite sets or the integers in the plane (with M. Kolountzakis), Bulletin of the London Mathematical Society, 49 (2017), 798-805. Also at arXiv:1604.06454.

(Weak) compactness of Hankel operators on BMOA, Publicacions Matemàtiques, 58 (2014), 221-231. Also at arXiv:1108.2817.

Condenser capacity under multivalent holomorphic functions (with S. Pouliasis), Computational Methods and Function Theory, 13 (2013), 11-20.

Semigroups of composition operators and integral operators in spaces of analytic functions (with O. Blasco, M. Contreras, S. Diaz-Madrigal, J. Martinez, A. Siskakis), Annales Academiæ Scientiarum Fennicæ Mathematica, 38 (2013), 67-90.

The essential norm of a composition operator on the minimal Möbius invariant space (with Th. Mitsis), Annales Academiæ Scientiarum Fennicæ Mathematica, 37 (2012), 203-214. Also at arXiv:1005.4935.

Singular oscillatory integrals on Rⁿ (with I. Parissis), Mathematische Zeitschrift, 266 (2010), 169-179.

Hankel and Toeplitz transforms on H¹: continuity, compactness and Fredholm properties (with J. Virtanen), Integral Equations and Operator Theory, 61 (2008), 573-591.

Hausdorff and quasi-Hausdorff matrices on spaces of analytic functions (with P. Galanopoulos), Canadian Journal of Mathematics, 58 (2006), 548-579.

A class of non-convex polytopes that admit no orthonormal basis of exponentials (with M. Kolountzakis), Illinois Journal of Mathematics, 46 (2002), 1227-1232.

The Steinhaus tiling problem and the range of certain quadratic forms (with M. Kolountzakis), Illinois Journal of Mathematics, 46 (2002), 947-951.

Isotropic surface area measures (with A. Giannopoulos), Mathematika, 46 (1999), 1-13.

Extensions of a theorem of Marcinkiewicz-Zygmund and of Rogosinski's formula and an application to universal Taylor series (with E. Katsoprinakis), Procceedings of the American Mathematical Society, 127 (1999), 2083-2090.

On best uniform approximation by bounded analytic functions, Bulletin of the London Mathematical Society, 28 (1996), 15-18.

Continuity of the operator of best uniform approximation by bounded analytic functions, Bulletin of the London Mathematical Society, 25 (1993), 44-48.

On the Busemann-Petty problem about convex, centrally symmetric bodies in Rⁿ, Mathematika, 39 (1992), 258-266.

On convexity of level curves of harmonic functions in the hyperbolic plane, Procceedings of the American Mathematical Society, 114 (1992), 695-698.

Almost isometric maps of the hyperbolic plane (with J. Garnett), Journal of the London Mathematical Society, 43 (1991), 269-282.

The Schrödinger-Hill equation -ÿ(x)+q(x)y(x)=μy(x); on odd potentials q, Illinois Journal of Mathematics, 33 (1989), 375-383.

Best uniform approximation by bounded analytic functions, Procceedings of the American Mathematical Society, 103 (1988), 882-886.

A few thoughts.

Closed range composition operators on B¹, (with Th. Mitsis) (2011).

On the best constant for the discrete Hilbert transform, (2004).

A note on a generalization of Hilbert's inequality, a simple triviality (1997).

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