Atomic decompositions and John-Nirenberg theorem of grand martingale Hardy spaces with variable exponents

DOI10.1155/2022/9021391zbMath1492.46028OpenAlexW4205715034MaRDI QIDQ2071907

Zhiwei Hao, Li-Bo Li

Publication date: 31 January 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/9021391

zbMATH Keywords

atomic decompositionsJohn-Nirenberg theoremgrand martingale Hardy spaces

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)

Related Items

The boundedness of Doob's maximal and fractional integral operators for generalized grand Morrey-martingale spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• John-Nirenberg inequalities with variable exponents on probability spaces
• Grand Lebesgue spaces with respect to measurable functions
• Hardy spaces with variable exponents and generalized Campanato spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
• Maximal and Calderón-Zygmund operators in grand variable exponent Lebesgue spaces
• Grand martingale Hardy spaces
• Martingale Hardy spaces with variable exponents
• Atomic decompositions of Lorentz martingale spaces and applications.
• Fractional integral on martingale Hardy spaces with variable exponents
• A direct approach to the duality of grand and small Lebesgue spaces
• On the integrability of the Jacobian under minimal hypotheses
• Martingale Hardy spaces for \(0<p\leq 1\)
• Martingale Hardy spaces and their applications in Fourier analysis
• Duality and reflexivity in grand Lebesgue spaces
• Atomic subspaces of \(L_1\)-martingale spaces
• On small Lebesgue spaces
• Orlicz-Lorentz Hardy martingale spaces
• Characterizations of variable martingale Hardy spaces via maximal functions
• Real interpolation of martingale Orlicz Hardy spaces and BMO spaces
• Martingale Musielak-Orlicz-Lorentz Hardy spaces with applications to dyadic Fourier analysis
• New martingale inequalities and applications to Fourier analysis
• Grand Bochner-Lebesgue space and its associate space
• The predual and John-Nirenberg inequalities on generalized BMO martingale spaces
• Martingale Orlicz-Hardy spaces
• ATOMIC DECOMPOSITIONS, DUAL SPACES AND INTERPOLATIONS OF MARTINGALE HARDY-LORENTZ-KARAMATA SPACES
• On functions of bounded mean oscillation
• Atomic decomposition of predictable martingale Hardy space with variable exponents
• The maximal theorem for weighted grand Lebesgue spaces
• Bounded Mean Oscillation and Regulated Martingales
• Doob’s and Burkholder-Davis-Gundy inequalities with variable exponent
• Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent
• Variable martingale Hardy spaces and their applications in Fourier analysis