Dual spaces of weak martingale Hardy–Lorentz–Karamata spaces
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-016-0670-6
Abstract: We characterize the dual spaces of weak martingale Hardy–Lorentz–Karamata spaces. As an application, we obtain a weak type John–Nirenberg theorem when the stochastic basis is regular. We also extend the boundedness of fractional integrals to… read more here.
Keywords: karamata spaces; lorentz karamata; hardy lorentz; martingale hardy ... See more keywords
Interchange between Hardy–Lorentz spaces of predictable martingales
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DOI: 10.1016/j.jmaa.2018.11.076
Abstract: Abstract By means of the technique of Burkholder's martingale transforms, the interchanging relations between “predictable” martingale Hardy–Lorentz spaces are characterized. More precisely, let 0 p 1 p 2 ∞ and 0 q 1 ≤ q… read more here.
Keywords: predictable martingales; lorentz spaces; interchange hardy; spaces predictable ... See more keywords
Anisotropic Hardy-Lorentz Spaces with Variable Exponents
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DOI: 10.4153/cjm-2016-053-6
Abstract: Abstract In this paper we introduce Hardy-Lorentz spaces with variable exponents associated with dilations in ${{\mathbb{R}}^{n}}$ . We establish maximal characterizations and atomic decompositions for our variable exponent anisotropic Hardy-Lorentz spaces. read more here.
Keywords: spaces variable; lorentz spaces; hardy lorentz; anisotropic hardy ... See more keywords