On a generalization of Fueter's theorem.
On a generalization of Hankel kernel.
On a generalization of Lipschitz's classes.
On a generalization of the martingale maximal theorem
On a generalized Carleson inequality
On a higher-order Hardy inequality
The Hardy inequality with holds for if is an open set with a sufficiently smooth boundary and if . P. Hajlasz proved the pointwise counterpart to this inequality involving a maximal function of Hardy-Littlewood type on the right hand side and, as a consequence, obtained the integral Hardy inequality. We extend these results for gradients of higher order and also for .
On a Hilbert-type transform
On a littlewood-paley theorem and connections between some non-isotropic distributions spaces.
On a local property of summability of Fourier series
On a Monotonic Trigonometric Sum.
On a Multiplier Transform
On a new kind of 2-periodic trigonometric interpolation
It is well-known that the interpolation theory plays an important role in many fields of computer vision, especially in surface reconstruction. In this paper, we introduce a new kind of 2-period interpolation of functions with period . We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of practical significance. Our results provide the theoretical...
On a non-self adjoint eigenfunction expansion.
On a non-self adjoint expansion formula.
On a positive sine sum
On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser
In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
On a problem of Littlewood.
On a property of continuous solutions of the dilation equation with positive coefficients
On a property of the Fourier transform.
On a relationship between the integrabilities of various maximal functions.