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1.
The purpose of this paper is to study coproducts in the category MFrm (resp. McFrm), of metric -frames and uniform (resp. contractive) -frame maps. First, by applying the same technic that was used to find coproducts in Frm, we construct coproducts in the category Frm of -frames and -frame maps. Then, we define a metric diameter on the coproduct in Frm of a family of metric -frames and show that coproduct in Frm preserves metrizability.Mathematics Subject Classifications (2000) 06B23, 06D22, 18A30. 相似文献
2.
J. Lippus 《Analysis Mathematica》1984,10(3):213-231
- ()N2,L
F
(
) — , 2- , {s
m()
f} -L.
— . (L
F(
),L
F(
) ={(k)} (kZ2) , fLF(
) f
,
, L
F(
). - ={()} ={()} , n(())m()n(()+())
. R() , ..
- . , . (L
F
(
),L
F
(
)) , R(,)=O(1) (x).
The author wishes to express his gratitude to S. A.Teljakovski for setting the problem and for his attention to this paper. 相似文献
The author wishes to express his gratitude to S. A.Teljakovski for setting the problem and for his attention to this paper. 相似文献
3.
4.
, (n), - (P
n
), P
n
(A
n
)>0P
n
(A
n
)0,n. [15] - , . , P
n
P
n
T
n
T
n
. 相似文献
5.
6.
7.
() [0,1] — {(n)} — , +. , f(x) [0,1]
() , x
1
,x
2 [0, 1], (1)=(2), f(x
1
)=f(x
2
). 相似文献
8.
9.
w
a(x)=exp(–xa), xR, a0. , N
n
(a,p,q) — (2),
n P
nwap, CNn(a,p, q)Pnwaq. , — , {P
n}, .
This material is based upon research supported by the National Science Foundation under Grant No. DMS-84-19525, by the United States Information Agency under Senior Research Fulbright Grant No. 85-41612, and by the Hungarian Ministry of Education (first author). The work was started while the second author visited The Ohio State University between 1983 and 1985, and it was completed during the first author's visit to Hungary in 1985. 相似文献
This material is based upon research supported by the National Science Foundation under Grant No. DMS-84-19525, by the United States Information Agency under Senior Research Fulbright Grant No. 85-41612, and by the Hungarian Ministry of Education (first author). The work was started while the second author visited The Ohio State University between 1983 and 1985, and it was completed during the first author's visit to Hungary in 1985. 相似文献
10.
A. Yu. Šadrin 《Analysis Mathematica》1986,12(3):175-184
. L
p
, 0<p<, . , f, {E
n
(f)
p
}
1
p>0 .
The author expresses his thanks to S. B. Stekin for the attention he has paid to this work. 相似文献
The author expresses his thanks to S. B. Stekin for the attention he has paid to this work. 相似文献
11.
А. А. Соляник 《Analysis Mathematica》1986,12(1):59-75
H
P
(R
+
2
) — R
+
2
={zC: Imz>0}
p
(R) — H
p
(R
+
2
). P
k
(f,x) — ë- — ,W
k
(f,x) — — R
k,
(f,x) — f H
(R) (. §1,1)–3));
k
(, f)
p
— - . , fH
p
(R) 0<p1,kN; (1+)–1<p1, 0<<,kN. 相似文献
12.
L r 1 k/n W
p
r+1
p<) 2- f(t), f
(r)(t)
, a
. , W
p
r+1
, =1 W
L
r+1
2n- L. 相似文献
13.
14.
U — [0, 1] Y — . X=[1–U
1/v
/Y], U Y. 相似文献
15.
n
—n-
— ƒ()L
v
(T
n
), 1
f, - -. -. 相似文献
16.
Ferenc Móricz 《Analysis Mathematica》1985,11(2):125-137
, - , (C, 1,1), (C, 1,0) (C, 0,1)- . , , . - .
Dedicated to Academician S. M. Nikol'skii on his 80th birthday 相似文献
Dedicated to Academician S. M. Nikol'skii on his 80th birthday 相似文献
17.
18.
J. Mogyoródi 《Analysis Mathematica》1981,7(3):185-197
, , . . . [1], , . , , ., , L logL. , , . . . . [5]. , . 相似文献
19.
20.
, , , . , . ,
, x(0,1),x2–j
,j=1,2,..., 2
n
. , ka
k
0 k k. , (0, 1) , , , , . , . 相似文献