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On integral operators in weighted grand Lebesgue spaces of Banach-valued functions
- Source :
- Mathematical Methods in the Applied Sciences.
- Publication Year :
- 2020
- Publisher :
- Wiley, 2020.
-
Abstract
- The paper deals with boundedness problems of integral operators in weighted grand Bochner-Lebesgue spaces. We will treat both cases: when a weight function appears as a multiplier in the definition of the norm, or when it defines the absolute continuous measure of integration. Along with the diagonal case we deal with the off-diagonal case. To get the appropriate result for the Hardy-Littlewood maximal operator we rely on the reasonable bound of the sharp constant in the Buckley type theorem which is also derived in the paper.
- Subjects :
- Mathematics::Functional Analysis
Pure mathematics
Weight function
General Mathematics
010102 general mathematics
Diagonal
Mathematics::Classical Analysis and ODEs
General Engineering
Singular integral
01 natural sciences
Measure (mathematics)
010101 applied mathematics
Multiplier (Fourier analysis)
Maximal function
0101 mathematics
Lp space
Constant (mathematics)
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........c8ec12d34882204dd9abd519854d3a27