scientific article; zbMATH DE number 6979812

zbMath1440.42082MaRDI QIDQ4556280

Vakhtang Kokilashvili, D. Makharadze, Tsira Tsanava

Publication date: 15 November 2018

Full work available at URL: http://science.org.ge/newsite/bnas/t12-n1/01_Kokilashvili.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

weightsstrong maximal functionmultiple Hilbert transformgeneralized grand Lebesgue space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Cites Work

• Grand Lebesgue spaces with respect to measurable functions
• Grand Sobolev spaces and their applications in geometric function theory and PDEs
• Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications
• Potentials with product kernels in grand Lebesgue spaces: one-weight criteria
• A Note on the Interpolation of Sublinear Operations
• The maximal theorem for weighted grand Lebesgue spaces
• Criteria for the Boundedness of Potential Operators in Grand Lebesgue Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item