On the boundedness of fractional -maximal operators in the Lorentz spaces .
On the boundedness of maximal operators and singular operators with kernels in .
On the boundedness of multipliers, commutators and the second derivatives of Green’s operators on and
On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces
In the paper we find conditions on the pair which ensure the boundedness of the maximal operator and the Calderón-Zygmund singular integral operators from one generalized Morrey space to another , , and from the space to the weak space . As applications, we get some estimates for uniformly elliptic operators on generalized Morrey spaces.
On the boundedness of the norms of trigonometric polynomials and their application to summation methods of Fourier series.
On the bundle convergence of double orthogonal series in noncommutative -spaces
The notion of bundle convergence in von Neumann algebras and their -spaces for single (ordinary) sequences was introduced by Hensz, Jajte, and Paszkiewicz in 1996. Bundle convergence is stronger than almost sure convergence in von Neumann algebras. Our main result is the extension of the two-parameter Rademacher-Men’shov theorem from the classical commutative case to the noncommutative case. To our best knowledge, this is the first attempt to adopt the notion of bundle convergence to multiple series....
On the calculation of approximate fekete points: the univariate case.
On the Cauchy Problem for the Kadomstev-Petviashvili Equation.
On the Choquet integrals associated to Bessel capacities
We characterize the Choquet integrals associated to Bessel capacities in terms of the preduals of the Sobolev multiplier spaces. We make use of the boundedness of local Hardy-Littlewood maximal function on the preduals of the Sobolev multiplier spaces and the minimax theorem as the main tools for the characterizations.
On the coefficients in Fourier-Stieltjes series with norm-bounded partial sums
On the comparison of trigonometric convolution operators with their discrete analogues for Riemann integrable functions.
On the composition of the integral and derivative operators of functional order
The Integral, , and Derivative, , operators of order , with a function of positive lower type and upper type less than , were defined in [HV2] in the setting of spaces of homogeneous-type. These definitions generalize those of the fractional integral and derivative operators of order , where , given in [GSV]. In this work we show that the composition is a singular integral operator. This result in addition with the results obtained in [HV2] of boundedness of and or the -theorems proved...
On the computation of scaling coefficients of Daubechies' wavelets
In the present paper, Daubechies' wavelets and the computation of their scaling coefficients are briefly reviewed. Then a new method of computation is proposed. This method is based on the work [7] concerning a new orthonormality condition and relations among scaling moments, respectively. For filter lengths up to 16, the arising system can be explicitly solved with algebraic methods like Gröbner bases. Its simple structure allows one to find quickly all possible solutions.
On the conjecture of Gát.
On the constant in Meńshov-Rademacher inequality.
On the Constant in the Littlewood Problem.
On the convergence and summability of -dimensional Fourier series with respect to the Walsh-Paley systems in the spaces , .
On the convergence and summability of series with respect to block-orthonormal systems.
On the convergence in L¹ of singular integrals
On The Convergence Of A Lacunary Fourier Series And It's Conjugate Series