An analytical method for calculation of integrals appearing in approximate solutions of deformable body mechanics
An application of interpolation theory to Fourier series
An application of Kronecker' s theorem to rational functions.
An Application of Littlewood-Paley Theory in Harmonie Analysis.
An application of the Fourier transform to optimization of continuous 2-D systems
This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form a theoretical background for the design problem of optimal controllers for relevant processes.
An application of two-parameter martingales in harmonic analysis
Some duality results and some inequalities are proved for two-parameter Vilenkin martingales, for Fourier backwards martingales and for Vilenkin and Fourier coefficients.
An approximation problem in , 2 < p < ∞
An atomic theory of ergodic spaces
An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials.
An Elementary Approach to Local Solvability for Constant Coefficient Partial Differential Equations.
An embedding relation for bounded mean oscillation on rectangles
In the two-parameter setting, we say a function belongs to the mean little BMO if its mean over any interval and with respect to any of the two variables has uniformly bounded mean oscillation. This space has been recently introduced by S. Pott and the present author in relation to the multiplier algebra of the product BMO of Chang-Fefferman. We prove that the Cotlar-Sadosky space of functions of bounded mean oscillation is a strict subspace of the mean little BMO.
An End Point Estimate for Maximal Commutators.
An endpoint estimate for some maximal operators.
An equation with no -periodic solutions.
An estimate of the conjugate functions
An estimate of the Fourier coefficients of functions belonging to the Besov class.
An estimate of the rate convergence of Cesaro means of Fourier Stieltjes series and its conjugate series
An estimate of the rate of convergence for Fourier series of functions of bounded variation.
An estimate of the rate of convergence of the triangular matrix means of the Fourier series of functions of bounded variation.
An estimation for a family of oscillatory integrals
Let K be a Calderón-Zygmund kernel and P a real polynomial defined on ℝⁿ with P(0) = 0. We prove that convolution with Kexp(i/P) is continuous on L²(ℝⁿ) with bounds depending only on K, n and the degree of P, but not on the coefficients of P.