Results 81 to 90 of about 3,337 (162)

Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces

open access: yesOpen Mathematics, 2016
In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators
Gurbuz Ferit
doaj   +1 more source

The Stein-Weiss Type Inequality for Fractional Integrals, Associated with the Laplace-Bessel Differential Operator [PDF]

open access: yes, 2008
2000 Math. Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B -Riesz potentials) generated by the Laplace-Bessel differential operator ∆B.* Akif Gadjiev’s research is partially supported by the grant of ...
Gadjiev, Akif, Guliyev, Vagif
core  

A note on boundedness of operators in Grand Grand Morrey spaces

open access: yes, 2011
In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the ...
A Almeida   +15 more
core   +1 more source

Inhomogeneous multi-parameter Besov and Triebel-Lizorkin spaces associated with different homogeneities and boundedness of composition operators

open access: yesJournal of Mathematical Inequalities, 2020
In this paper, the author establishes inhomogeneous multi-parameter Besov and TriebelLizorkin spaces associated with different homogeneities. Moreover, the boundedness of the composition of two inhomogeneous Calderón-Zygmund singular integrals of order ...
J. Tan
semanticscholar   +1 more source

LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators [PDF]

open access: yes, 2005
Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.We obtain the Lp → Lq - estimates for the fractional acoustic potentials in R^n, which are known to be negative powers of the Helmholtz operator, and some related operators. Some applications
Karapetyants, Alexey   +2 more
core  

Singular integrals with angular integrability

open access: yes, 2016
In this note we prove a class of sharp inequalities for singular integral operators in weighted Lebesgue spaces with angular integrability.Comment: 5 pages - updated ...
Cacciafesta, Federico, Lucà, Renato
core   +1 more source

Rough singular integral operators and its commutators on generalized weighted Morrey spaces

open access: yes, 2016
Let Ω ∈ Lq(Sn−1) be a homogeneous function of degree zero with q > 1 and have a mean value zero on Sn−1 . In this paper, we study the boundedness of the singular integral operators with rough kernels TΩ and their commutators [b,TΩ ] on generalized ...
V. Guliyev, Vugar H. Hamzayev
semanticscholar   +1 more source

Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

open access: yesAdvances in Nonlinear Analysis, 2021
This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
doaj   +1 more source

Bellman function approach to the sharp constants in uniform convexity [PDF]

open access: yes, 2015
We illustrate Bellman function technique in finding the modulus of uniform convexity of $L^{p}$ spaces.Comment: 5 ...
Ivanisvili, Paata
core  

Approximate symmetries in nonlinear viscoelastic media

open access: yes, 2013
Approximate symmetries of a mathematical model describing one-dimensional motion in a medium with a small nonlinear viscosity are studied. In a physical application, the approximate solution is calculated making use of the approximate generator of the ...
M. Ruggieri, A. Valenti
semanticscholar   +1 more source

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