Applications of martingale Hardy Orlicz-Lorentz-Karamata theory in Fourier analysis

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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30) Martingales and classical analysis (60G46)

Cites Work

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A sharp boundedness result concerning some maximal operators of Vilenkin-Fejér means
Dual spaces of weak martingale Hardy-Lorentz-Karamata spaces
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Orlicz-Lorentz Hardy martingale spaces
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New martingale inequalities and applications to Fourier analysis
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Limiting reiteration for real interpolation with slowly varying functions
Lorentz–Karamata spaces, Bessel and Riesz potentials and embeddings
Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Summability of Multi-Dimensional Fourier Series and Hardy Spaces
Local geometric properties in quasi-normed Orlicz spaces
DUAL SPACES AND JOHN-NIRENBERG INEQUALITIES OF MARTINGALE HARDY-LORENTZ-KARAMATA SPACES
An application of interpolation theory to renorming of Lorentz-Karamata type spaces
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Locally bounded linear topological spaces
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Variable martingale Hardy spaces and their applications in Fourier analysis
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Some new \((H_p -L_p)\) type inequalities for weighted maximal operators of partial sums of Walsh-Fourier series

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