Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics

Volume 7, # 2, 1992

C O N T E N T S

**Gajiev A.D., Pliev I.A.** On Fourier -Bessel pseudo differential operators.

**Gaposhkin V.F.** Block orthogonal and block-independent systems.

**Genebashvili I.Z.** Weighted reverse inequalities for maximal functions.

**Gogatishvili A.S.** General weak-type inequalities for the maximal operators, defined in spaces of the homogeneous type.

**Gogoladze L.D.** On the convergence of multiple functional series.

**Gogoladze L.D.** On the restoration of coefficients of convergent multiple functional series.

**Grigorian M.G.** On some properties of orthogonal systems.

**Gunia N.G.** The problem of generalization of one integral of N.I.Lobachevski and integral representation of a conjugate almost periodic function.

**Dzagnidze O.P.** On the differentiability of functions of two variables and of the Lebesque integral.

**Djachenko M.I.** Some estimates for norms of multiple trigonometric polynomials with monotone coefficients.

**Kokilashvili V.M.** Criteria of two-weighted inequalities for generalized fractional maximal functions and integrals.

**Kuznetsova O.I.** Strong summability with gaps of multiple Fourier series.

**Magnaradze L.G.** Singular integrals of Bochner and Peltis and their application to the probability theory.

**Otirba D.Z.** On the transposition of Haar systems.

**Rodin V.A**. Spectral oscillation of the partial sum sequence of multiple Fourier series.

**Rustamov Kh.P.** An approach to fractional powers of the Beltrami-Laplace operators on the sphere by finite differences.

**Tkebuchava G.E.** On some properties of conjugate functions, Hilbert transform, spherical Riesz means of functions of several variables.

**Ugulava D.K.** On some spherical means of multiple Fourier integrals.

**Epremidze L.N.** A new proof for a theorem of Atkinson.

**Yanakov G.S.** Multipliess of uniform convergence.