Block Toeplitz operators with frequency-modulated semi-almost periodic symbols.
Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings.
Bounded Functions With No Spectral Gaps
Bounded projections, duality, and multipliers in spaces of harmonic functions.
Boundedness of the Hausdorff operators in spaces, 0 < p < 1
Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces , 0 < p < 1, on the real line are proved. Two related negative results are also given.
Bounds for oscillatory integrals and L²-theory of the corresponding singular integrals
Brushlet characterization of the Hardy space H1(R) and the space BMO.
A typical wavelet system constitutes an unconditional basis for various function spaces -Lebesgue, Besov, Triebel-Lizorkin, Hardy, BMO. One of the main reasons is the frequency localization of an element from such a basis. In this paper we study a wavelet-type system, called a brushlet system. In [3] it was noticed that brushlets constitute unconditional bases for classical function spaces such as the Triebel-Lizorkin and Besov spaces. In this paper we study brushlet expansions of functions in the...
C1 Changes of Variable: Beurling-Helson Type Theorem and Hörmander Conjecture on Fourier Multipliers.
Calderón's Formula Associated with a Differential Operator on (0, ...) and Inversion of the Generalized Abel Transform.
Canonical products of infinite order.
Caratterizzazione dei polinomi di convoluzione in una variabile a decrescenza rapida, a coefficienti costanti, che hanno soluzioni quasi periodiche per ogni termine noto quasi periodico
Carleson's Theorem: proof, complements, variations.
Carleson's Theorem from 1965 states that the partial Fourier sums of a square integrable function converge pointwise. We prove an equivalent statement on the real line, following the method developed by the author and C. Thiele. This theorem, and the proof presented, is at the center of an emerging theory which complements the statement and proof of Carleson's theorem. An outline of these variations is also given.
Causality and local analyticity : mathematical study
Central Lacunary Sets.
Certain lacunary cosine series are recurrent
Let the coefficients of a lacunary cosine series be bounded and not square-summable. Then the partial sums of the series are recurrent.
Cesàro means of trigonometric Fourier series.
Cesàro summability of one- and two-dimensional trigonometric-Fourier series
We introduce p-quasilocal operators and prove that if a sublinear operator T is p-quasilocal and bounded from to then it is also bounded from the classical Hardy space to (0 < p ≤ 1). As an application it is shown that the maximal operator of the one-parameter Cesàro means of a distribution is bounded from to (3/4 < p ≤ ∞) and is of weak type . We define the two-dimensional dyadic hybrid Hardy space and verify that the maximal operator of the Cesàro means of a two-dimensional...
Character sums in complex half-planes
Let be a finite subset of an abelian group and let be a closed half-plane of the complex plane, containing zero. We show that (unless possesses a special, explicitly indicated structure) there exists a non-trivial Fourier coefficient of the indicator function of which belongs to . In other words, there exists a non-trivial character such that .
Characterisations of H... by singular intetgral transforms on martingales and R...
Characteristics of Besov-Nikol'skiĭ class of functions.