On term by term dyadic differentiability of Walsh series

. . . . : {ja _j },j=1,2,... — , f(x) , , f ^[1](x) — f .     

On the summability of Fourier series with the method of lacunary arithmetic means

. f- ,S _n (f)— . {n _k }, n _k+1/n _k >1+ck ^– ,— , 0<1/2, f ₀, .     

Sets of uniqueness and closed subgroups in Vilenkin groups

, ( ) . , : , , .

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This research was partially supported by National Science Foundation under grant INT-8400708.     

On the Riemann derivatives ofC sP-integrable functions

[4] , .     

The Cantor-Lebesgue and Denjoy-Luzin properties for double systems of functions

{ _mn ():, =1, 2, ...}, (X, , ). , ( ) , . { _mn }. . — — ( ) .     

Investigation of Haar and Franklin series in Hardy spaces

(L ¹,H) (, ) , ; H — . , , L ¹ . [13] , . , , , .     

On Gibbs' phenomenon for Riesz spherical means of multiple Fourier integrals and Fourier series

- - , .     

On a problem of Tandori

(r _k ) - , +1 –1 1/2. =( _i ) , 0< _{1 p} ... _n ... . (a _i )M. (a _i ) . , [2], .     

Sharpening of Stečkin's theorem to strong approximation with exponentp

— , B _n , B p1., , p=1 , - . , , , p.     

Transferring estimates for zonal convolution operators

_p - , . Ad- .     

Жизнь и деятельность яноша Бояи

: . BOLYAI.     

Discretization with interpolating approximation

.     

Нормаляный поридок аддитявных арифметичыских функций на множестве дсдвинутых” пностых чясел

.      

Один Способ Замены Переменных В теории Параболических Уравнений и Его Применение

. .-     

On the angular derivative and univalence

f . , , — , A f f(). , , f() 0 . , , ,A , f . , f() - f() . , , . (1976) ( ¦f(z)¦<1) . . (1969) ( ).     

Mixed-norm estimates for a class of integral operators

(, ) — R ^m ×R ⁿ . f R ^m ×R ⁿ f_p,q, f L _p (R ^m) x y, L^q(Rⁿ). ׃ _q,r cƒ _p,r , ׃ R ^m ×R ⁿ , , , q r . , ( ¦¦) K ₀ (y); p, g r , K ₀.     

The trace to subsets ofR n of Besov spaces in the general case

R ⁿ. , , , F R ⁿ, F , R ⁿ R ⁿ . ^p,q (Rⁿ), >0, 1, q, — ( ) Rⁿ. , ^p,q (Rⁿ) ^F Rⁿ. , q B ^p,q (F), = – (n–)/, >0, — « », ad — F, . , . : , F=R ^d,F— « » F— R ⁿ, « », F. .

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This work has been supported in part by the Swedish Natural Science Research Council.     

On convergence of function series

, a _n f _n (x) . .     

Morera type theorems on the unit disc

, . . : , , , , .     

Convergence of simultaneous Padé approximants to two dilogarithms

. .