A local comparison theorem with applications to approximation in certain group and multiplier algebras

X- E — -. , X . . Rⁿ Rⁿ/(2Z)ⁿ L ^p(Rⁿ) . -R _t f , (-1)/2.

---

---

The contribution of the first author was supported in part by Grant No. II B 7 — FA 5334 awarded by the Minister für Wissenschaft und Forschung des Landes Nordrhein-Westfalen.     

On the distribution of points of maximal deviation in complex Čebyšev approximation

f — , . p _n (f) f . , n+2 , f–p _n (f) . , n . , .

---

On the distribution of points of maximal deviation in complex ebyev approximation

     

On a test of Jordan type for double Fourier series with respect to multiplicative systems

. , , .     

Maximal inequalities,convexity inequality,and their duality. II

, , . . . [1], , . , , ., , L logL. , , . . . . [5]. , .     

On the admissibility of function spaces of typeB p,q s andF p,q s,and boundary value problems for non-linear partial differential equations

u=f(x)+S(u), S — , u-G(u), G — . B _p,q ^s () -F _p,q ^s (). R _n — . — . _p,q ^s F _p,q ^s .     

The Cesàro-Denjoy-Bochner scale of almost periodicity

, —— , . , f, ——, —. .     

Saturation theorems for discretized linear operators

, , , - .

---

---

Part of this research was completed at a conference of Hungarian and American mathematicians held in Madison, Wisconsin, August 1974, and sponsored by the National Science Foundation (USA) and the Institute for Cultural Relations (Hungary).

---

The first author gratefully acknowledges NSF support in Grant GP 19620.     

On unconditionally convergent basis expansions in the space of continuous functions

[0,1], - H .

---

---

This paper was written during the author's scholarship at the State University of Odessa in the USSR.     

On the angular derivative and univalence

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

On cubature formulas on the basis of lattices

Q (.. , L). Q . P(S_r(2)) — 2 (S _r(2) (r — ). , M(P(S _r(m=sup{t(·)t(·)₁:t P(S _r(2)),t 0}. , /4+(1)M(P(S _r(2)))/r ²15/17+(1)(r+). (Q), Q L.     

A Hubert space characterization among function spaces

— [0,1] ,E — - e=1 [0,1]. I — _E =1, E=L ₂ x _e =xL ₂ x E.

---

---

This work was prepared when the second author was a visiting professor of the CNR at the University of Firenze. He was supported by the Soros International Fund.     

Integrability of double trigonometric series with special coefficients

- , , . , L ¹=L ¹([0, ]×]0, ]). , ; , L ¹ , - . . . . 1976 ., ; 1989 .

---

---

The basic part of this research was done while the author was a visiting professor at the Syracuse University, U.S.A., during the academic year 1986/87.     

On the solution of a generalized Schrödinger-type equation

Lu(t)+(u,F)g(t)=f(t), tS. , ( F, g). .

---

---

The authors wish to thank Professor Yu. A. Rozanov for his help and discussions.     

Асимптоический Анализ Распределения Статистики Диксона

. u 60-u u     

Extension of functions,which are traces of functions belonging to 249-01249-01249-01on an arbitrary subset of the line

( , k) , ER f(x) f(x)H _k (R) (k2— ,=(t) — k- ). f(x) E (t).     

О сравнительной теории простЫх чисел

.      

A generalized Laplace transform of generalized functions

- . . . , .     

Some inequalities of Hardy-Littlewood type

[3] , >0 n ^– a _n , . , . . , .

---

---

This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant #234.     

Atomic Hardy spaces

. , BMO VMO.

---

---

This paper is a part of the author's Ph.D. thesis written under the supervision of Prof. F. Schipp, Eötvös L. University, Budapest.     

Remarks on multiple Fourier series

: (1) ( , , ), (2) ( —, , ). , .