Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces

DOI10.1007/s10998-020-00318-1zbMath1474.60115OpenAlexW3011290305MaRDI QIDQ2221014

Kwok-Pun Ho

Publication date: 25 January 2021

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-020-00318-1

zbMATH Keywords

Hardy spacesOrlicz spacesrearrangement-invariant spacesfractional integralsgrand Lebesgue spacesmartingale transformsLorentz-Karamata spacesinterpolation martingale

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Martingales and classical analysis (60G46)

Related Items (7)

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice ⋮ The boundedness of Doob's maximal and fractional integral operators for generalized grand Morrey-martingale spaces ⋮ A generalization of Boyd's interpolation theorem ⋮ Martingale inequalities on Musielak–Orlicz Hardy spaces ⋮ Martingale transforms on Banach function spaces ⋮ Real interpolation of martingale Orlicz Hardy spaces and BMO spaces ⋮ Boundedness of fractional integrals on special John-Nirenberg-Campanato and Hardy-type spaces via congruent cubes

Cites Work

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• Operator-valued martingale transforms in rearrangement invariant spaces and applications
• Grand Lebesgue spaces with respect to measurable functions
• Martingale Morrey-Campanato spaces and fractional integrals
• Boyd indices in generalized grand Lebesgue spaces and applications
• Grand martingale Hardy spaces
• Linear operators, Fourier integral operators and \(k\)-plane transforms on rearrangement-invariant quasi-Banach function spaces
• Atomic decompositions of Lorentz martingale spaces and applications.
• Fractional integral on martingale Hardy spaces with variable exponents
• Commutators on dyadic martingales
• On the integrability of the Jacobian under minimal hypotheses
• Martingale Hardy spaces and their applications in Fourier analysis
• Duality and reflexivity in grand Lebesgue spaces
• Doob's inequality, Burkholder-Gundy inequality and martingale transforms on martingale Morrey spaces
• Atomic decompositions of martingale Hardy-Morrey spaces
• Weak type estimates of the fractional integral operators on Morrey spaces with variable exponents
• Weak type estimates of singular integral operators on Morrey-Banach spaces
• Martingale Morrey-Hardy and Campanato-Hardy spaces
• Martingale Orlicz-Hardy spaces
• ATOMIC DECOMPOSITIONS, DUAL SPACES AND INTERPOLATIONS OF MARTINGALE HARDY-LORENTZ-KARAMATA SPACES
• Martingale Transforms
• Extensions of Hardy spaces and their use in analysis
• FOURIER-TYPE TRANSFORMS ON REARRANGEMENT-INVARIANT QUASI-BANACH FUNCTION SPACES
• Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces
• Maximal Estimates of Schrödinger Equations on Rearrangement Invariant Sobolev Spaces
• Are generalized Lorentz “spaces” really spaces?
• Cesàro Summability of Two-dimensional Walsh-Fourier Series
• Modular Maximal Estimates of Schrödinger Equations
• Interpolation of sublinear operators which map into Riesz spaces and applications
• Commutators of fractional integrals on martingale Morrey spaces
• DUAL SPACES AND JOHN-NIRENBERG INEQUALITIES OF MARTINGALE HARDY-LORENTZ-KARAMATA SPACES
• Fourier integrals and Sobolev embedding on rearrangement invariant quasi-Banach function spaces

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