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Your search keyword '"SCAPELLATO, ANDREA"' showing total 4 results
Start Over Author "SCAPELLATO, ANDREA" Topic commutators (operator theory)
4 results on '"SCAPELLATO, ANDREA"'

1. Intrinsic square functions and commutators on Morrey‐Herz spaces with variable exponents.

Author

Abdalmonem, Afif and Scapellato, Andrea

Subjects
*COMMUTATION (Electricity), *COMMUTATORS (Operator theory), *EXPONENTS, *FUNCTION spaces, *GENERATING functions
Abstract

In this article, we will study the boundedness of intrinsic square functions on the Morrey‐Herz spaces MKq(·),p(·)α(·),λ(ℝn). The boundedness of commutators generated by BMO functions and intrinsic square functions is also discussed on the aforementioned Morrey‐Herz spaces. [ABSTRACT FROM AUTHOR]

Published
2021
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2. New Perspectives in the Theory of Some Function Spaces and their Applications.

Author

Scapellato, Andrea

Subjects
*FUNCTION spaces, *REPRESENTATION theory, *COMMUTATORS (Operator theory), *INTEGRAL operators, *MATHEMATICAL analysis
Abstract

In this note we present a regularity result for solutions of parabolic equations in the framework of mixed Morrey spaces. In order to study the regularity properties, we use the representation formula for the solutions of the differential equations under consideration and we need of boundedness results for integral operators and commutators. [ABSTRACT FROM AUTHOR]

Published
2018
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3. Some Properties of Integral Operators on Generalized Morrey Spaces.

Author

Scapellato, Andrea

Subjects
*HARDY-Littlewood method, *COMMUTATORS (Operator theory), *ELLIPTIC differential equations, *DISCONTINUOUS coefficients, *PARTIAL differential equations
Abstract

In this note we study the behaviour of Hardy-Littlewood Maximal Operator and we obtain an estimate for commutators on Generalized Local Morrey Spaces. These results can be applied in the study of regularity of solutions of elliptic partial differential equations with discontinuous coefficients. [ABSTRACT FROM AUTHOR]

Published
2017
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4. On some qualitative results for the solution to a Dirichlet problem in Local Generalized Morrey Spaces.

Author

Scapellato, Andrea

Subjects
*NUMERICAL solutions to the Dirichlet problem, *ELLIPTIC differential equations, *SINGULAR integrals, *COMMUTATORS (Operator theory), *OSCILLATIONS
Abstract

Aim of this study is to obtain an interior estimate for the solution of the Dirichlet problem for a linear elliptic partial di erential equations having the coefficients of the principal part that belong to the Sarason class VMO of functions with vanishing mean oscillation. In order to obtain the desidered result we use some estimates for singular integral operators and commutators on Generalized Local Morrey Spaces. [ABSTRACT FROM AUTHOR]

Published
2017
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