On polyharmonic maps into spheres in the critical dimension
On polynomials with simple trigonometric formulas.
On quasiradial Fourier multiplier and their maximal functions.
On random orthogonal polynomials.
On real zeros of random polynomials with hyperbolic elements.
On recurrence property of Riesz-Raikov sums.
On relations between operators on R^{N}, T^{N} and Z^{N}
We study different discrete versions of maximal operators and g-functions arising from a convolution operator on R. This allows us, in particular, to complete connections with the results of de Leeuw [L] and Kenig and Tomas [KT] in the setting of the groups R^{N}, T^{N} and Z^{N}.
On relations of coefficient conditions.
On Representations of Algebraic Polynomials by Superpositions of Plane Waves
* The author was supported by NSF Grant No. DMS 9706883.Let P be a bi-variate algebraic polynomial of degree n with the real senior part, and Y = {yj }1,n an n-element collection of pairwise noncolinear unit vectors on the real plane. It is proved that there exists a rigid rotation Y^φ of Y by an angle φ = φ(P, Y ) ∈ [0, π/n] such that P equals the sum of n plane wave polynomials, that propagate in the directions ∈ Y^φ .
On respresentation of derivatives of functions in
On reverse Hardy's inequality.
On rough maximal operators and Marcinkiewicz integrals along submanifolds
We investigate the boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds and a class of related maximal operators under the condition on the kernel functions. Our results improve and extend some known results.
On singular integrals and Orlicz spaces
On Singular Integrals, Multipliers, H1 and Fourier Series ? a Local Field Phenomenon.
On singular integrals of Calderón-type in Rn and BMO.
We prove Lp (and weighted Lp) bounds for singular integrals of the formp.v. ∫Rn E (A(x) - A(y) / |x - y|) (Ω(x - y) / |x - y|n) f(y) dy,where E(t) = cos t if Ω is odd, and E(t) = sin t if Ω is even, and where ∇ A ∈ BMO. Even in the case that Ω is smooth, the theory of singular integrals with rough kernels plays a key role in the proof. By standard techniques, the trigonometric function E can then be replaced by a large class of smooth functions F. Some related operators are also considered. As...
On singular integrals of functions in L¹
On singular integrals with respect to the gaussian measure
On some applications of Bochner-Schoenberg-Eberlein type theorems
On some classes of almost periodic functions in abstract spaces.
On some classes of distributions