FREDHOLM MODULE AND CAUCHY INTEGRAL OPERATOR

2006 ◽  
Author(s):  
JICHENG TAO
Keyword(s):  
Integral Operator ◽  
Cauchy Integral ◽  
Fredholm Module

scholarly journals A note on weak factorization of a Meyer-type Hardy space via a Cauchy integral operator

2020 ◽  
Vol 253 (3) ◽  
pp. 307-327
Author(s):  
Yongsheng Han ◽  
Ji Li ◽  
Cristina Pereyra ◽  
Brett D. Wick
Keyword(s):  
Hardy Space ◽  
Integral Operator ◽  
Cauchy Integral ◽  
Weak Factorization

scholarly journals Weighted $L^p$ estimates for the Cauchy integral operator.

1983 ◽  
Vol 30 (2) ◽  
pp. 231-244 ◽  
Author(s):  
Basil C. Krikeles
Keyword(s):  
Integral Operator ◽  
Cauchy Integral

scholarly journals Study of new class of q-fractional integral operator

Filomat ◽  
2019 ◽  
Vol 33 (17) ◽  
pp. 5713-5721
Author(s):  
M. Momenzadeh ◽  
N.I. Mahmudov
Keyword(s):  
Differential Operator ◽  
Integral Operator ◽  
Fractional Integral ◽  
Fractional Integral Operator ◽  
Integral Approach ◽  
Cauchy Integral ◽  
New Class ◽  
Fractional Differential Operator ◽  
Fractional Differential

In this paper, we study on the new class of q-fractional integral operator. In the aid of iterated Cauchy integral approach to fractional integral operator, we applied tp f(t) in these integrals and a new class of q-fractional integral operator with parameter p, is introduced. Recently, the q-analogue of fractional differential integral operator is studied and all of the operators defined in these studies are q-analogue of Riemann fractional differential operator. We show that our new class of operator generalize all the operators in use, and additionally, it can cover the q-analogue of Hadamard fractional differential operator, as well. Some properties of this operator are investigated.

scholarly journals The Cauchy Integral Operator on the Predual of a Morrey Space

2010 ◽  
Vol 2010 (1) ◽  
pp. 729824
Author(s):  
Jianmiao Ruan ◽  
Jiecheng Chen
Keyword(s):  
Integral Operator ◽  
Morrey Space ◽  
Cauchy Integral

Cauchy integral and singular integral operator over closed Jordan curves

2014 ◽  
Vol 176 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Ricardo Abreu Blaya ◽  
Juan Bory Reyes ◽  
Boris Kats
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Cauchy Integral ◽  
Jordan Curves

A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1931-1939 ◽  
Author(s):  
Junesang Choi ◽  
Praveen Agarwal
Keyword(s):  
Integral Operator ◽  
Fractional Calculus ◽  
Fractional Integral ◽  
Fractional Integration ◽  
Fractional Integral Operator ◽  
Integration Formula ◽  
Special Cases

Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function E?,k[(?j,?j)m;z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

Univalence criteria for a general integral operator

Filomat ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 11-19 ◽  
Author(s):  
Erhan Deniz
Keyword(s):  
Integral Operator ◽  
General Integral ◽  
Significant Relationships ◽  
General Integral Operator ◽  
Univalence Criteria

In this paper the author introduces a general integral operator and determines conditions for the univalence of this integral operator. Also, the significant relationships and relevance with other results are also given.

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