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A study of three variable analogues of certain fractional integral operators
(Pontificia Universidad Católica del PerúPE, 2017)
Generalized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator
(Natural Sciences Publishing, 2016-04)
The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the space of continuous functions and on the space of Lebesgue integrable functions on an interval is ...
Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
(Natural Sciences, 2016)
The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the
space of continuous functions and on the space of Lebesgue integrable functions on an interval is ...
On the composition of the integral and derivative operators of functional order
(Universitatis Carolinae, 2003-03)
In this work we show that the composition of the integral and derivative operators of order phi, T_phi = D_phi◦I_phi, is a singular integral operator.This result in addition with the results obtained in [HV2] of boundedness ...
Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
(Polish Academy of Sciences. Institute of Mathematics, 2010-11)
We obtain sharp power-weighted L p , weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in ...
Weighted estimates for integral operators on local BMO type spaces
(Wiley VCH Verlag, 2015-06)
We prove the weighted boundedness for a family of integral operators Tα on Lebesgue spaces and local BMO type spaces. To this end we show that Tα can be controlled by the Calderón operator and a local maximal operator. ...
Singular Integral Operators with Coefficients of a Special Structure Related to Operator Equalities
(2008)
In our previous works we have constructed operator equalities which transform scalar singular integral operators with shift to matrix characteristic singular integral operators without shift and found some of their ...
Representation theorems for operators on free banach spaces of countable Type
(P-Adic Numbers, Ultrametric Analysis, and Applications, 2020)
Representation theorems for operators on free banach spaces of countable Type
(P-Adic Numbers, Ultrametric Analysis, and Applications, 2020)