Volume 1, No. 1, April 2008, Rabia 2 1429 H
Articlesticles 


Modern Functional Analysis in Theory of Sequence Spaces and Matrix Transformations
Many concepts and theories in functional analysis have turned out to be
powerful and widely used tools in operator theory, in particular in the theory of matrix
transformations between sequences spaces in summability.


Eberhard Malkowsky
JJMS,
2008, 1(1),
129

Strongly Singular CalderonZygmund Operators and their Commutators
In this paper, the authors obtain two kinds of endpoint estimates for
strongly singular CalderŽonZygmund operators. Moreover, the pointwise estimate for
the sharp maximal function of commutators generated by strongly singular CalderŽon
Zygmund operators and BMO functions is also established.


Yan Lin and Shanzhen Lu
JJMS,
2008, 1(1),
3149

Matrix Transformations between Sets of the form Wx and Operator Generators of Analytic Semigroups
In this paper we establish a relation between the notion
of operators of analytic semigroups and matrix transformations
from a set of sequences into w1.


Bruno De Malafosse Eberhard Malkowsky
JJMS,
2008, 1(1),
5167

Best Simultaneous Approximation in Metric Spaces
For a Banach space X and an increasing subadditive continuous function
' on [0,1) with '(0) = 0, let us denote by L
'(I,X), the space of all Xvalued '
integrable functions f : I ! X on a certain positive complete finite measure space
(I,
P
, μ, ) with
R
I
' kf(t)k dμ(t) < 1 and l
'(X) =
(xk) :
1P
k=1
' kxkk < 1, xk 2 X
.


Sharifa AlSharif
JJMS,
2008, 1(1),
6980

Algebraic Models in Applied Research
Mathematical models can be used in several sciences as a tool to organize
the research in such a way that the results could be transferred into other
sciences. Here we go on with a method how to organise some results,
which do not seem to have any relation with mathematics in a strictly
algebraic way.


Thomas Vougiouklis Penelope Kambaki
JJMS,
2008, 1(1),
81  90

The Set of Values of Functional in the Classes of Functions having Integral Representation
This paper presents a certain method to determine the set of values of the functional
J ( f ) ( ) ( ) ( )
0
a z f k z
n
k
k Σ=
=
defined on the family of analytic functions in the unit disc possessing an integral
representation with kernel q(z,t) in the interval [α ,β ].


Hassan Baddour
JJMS,
2008, 1(1),
91  96

