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1.
{p
mn
} -
00>0, (1, 1) (1.1) (1.2). {s
mn
} J
p
- ( bJ
p
-lims
mn
=), (1.3) 0<x,y<1 p
s
(, )/p(x, y) x, y 1-. {r
mn
} - , (1.5) 0<, <1. N
rp
- , (1.6). , bJ
p
-lims
mn
= bJ
q
-lim(N
rps)
mn
=. J
p
- . , . 相似文献
2.
3.
. . 相似文献
4.
, , , . .
Dedicated to Professors K. Tandori and L. Leindler on the occasion of their anniversaries
This work was completed in support of the Russian Foundation of Fundamental Research (Project # 96-01-00094) and of the International Scientific Foundation (Grant # NCI-300). 相似文献
Dedicated to Professors K. Tandori and L. Leindler on the occasion of their anniversaries
This work was completed in support of the Russian Foundation of Fundamental Research (Project # 96-01-00094) and of the International Scientific Foundation (Grant # NCI-300). 相似文献
5.
Karl -Ernst Biebler 《Analysis Mathematica》1989,15(2):75-104
6.
Р. С. Юлмухаметов 《Analysis Mathematica》1985,11(3):257-282
The following statement is proved. Letu be a subharmonic function in the region and
u
the associated measure. Then there exists a functionf holomorphic in and such that if
f
is the associated measure of the function in ¦f¦, then ¦u(z)–ln¦f(z)¦ A¦ln s¦+B¦ln diam¦+ s(¦lns¦+1)+C. hold at every point z for which the setsD(z, t)={w: ¦w–z¦},t(0,s) lie in and satisfy(D(z, t))t both for=
u
and for=
f
. In the case where is an unbounded region, In diam should be replaced by ln ¦z¦. The constants, , do not depend on andu.
. . . 相似文献
. . . 相似文献
7.
C. W. Onneweer 《Analysis Mathematica》1978,4(4):297-302
G- p- . [5] - (G) L
r(G) (1r<), . . , - . , , , . . , X. , . (. [1], [2] [4]). 相似文献
8.
. . .
. , L
p[0, l], 1 >p <, . 相似文献
9.
10.
Chang -Pao Chen 《Analysis Mathematica》1996,22(2):99-112
f(x,y)
jk
. , {c
jk} , f(x, )(, ) [0,1)х[0,1) , - (0,0). , , f, - f. , , , [1] . . - [5] [6].
This research is supported by National Science Council, Taipei, R.O.C. under Grant #NSC 84-2121-M-007-026. 相似文献
This research is supported by National Science Council, Taipei, R.O.C. under Grant #NSC 84-2121-M-007-026. 相似文献
11.
T. Jerofsky 《Analysis Mathematica》1977,3(4):257-262
[0,1], - H
.
This paper was written during the author's scholarship at the State University of Odessa in the USSR. 相似文献
This paper was written during the author's scholarship at the State University of Odessa in the USSR. 相似文献
12.
L
p
, 0<<1, . 相似文献
13.
14.
15.
P
(f) — , f L
p
- , k . f 02k–2 P
(f) 0. 相似文献
16.
We prove the following generalization of a theorem of Ferry concerning selections of strongly regular multivalued maps onto the class of paracompact spaces: Let : X (Z, ) be a map of a paracompact space X into a metric space (Z, ) whose values (x) are complete subspaces of Z and absolute extensors (AE), for every x X. Suppose that can be represented as = , where : X Y is a continuous singlevalued map of X onto some finite-dimensional paracompact space Y and : Y (Z, ) is a strongly regular map. Then for every closed subset A X and every selection r : A Z of the map |A : A Z, there exists an extension
: X Z of r such that
is a selection of the map . We also prove a local version of this theorem. 相似文献
17.
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
18.
We show that there are no entire, positive, stable solutions in
n
of the Euler equation corresponding to the singular variational integral
,>0, if+n<5.236.... Furthermore we prove a related result for smooth boundaries of least-energy |x
n+1||D
U
| in
n+1. 相似文献
19.
- , [4]. , . 相似文献
20.
A. V. Bakhshetsyan 《Analysis Mathematica》1988,14(2):157-174
{
d
} , c
n
n
(x) , {c
n
}l
2. () . , .. 1) ()< { n} — , {(n)} m .2) ()=, {n {cn}l
2 , c
n
(n) . , {
n
} . 相似文献