Results 41 to 50 of about 3,904 (117)
John-Nirenberg lemmas for a doubling measure
, 2010 We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderon-Zygmund decomposition in metric spaces and use it to prove the corresponding ...
Aalto, Daniel +3 more
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The predual and John-Nirenberg inequalities on generalized BMO martingale spaces [PDF]
Transactions of the American Mathematical Society, 2016 In this paper we introduce the generalized BMO martingale spaces by stopping time sequences, which enable us to characterize the dual spaces of martingale Hardy-Lorentz spaces $H_{p,q}^s$ for ...
Jiao, Yong +3 more
openaire +3 more sources
Local cone multipliers and Cauchy–Szegö projections in bounded symmetric domains
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract We show that the cone multiplier satisfies local Lp$L^p$‐Lq$L^q$ bounds only in the trivial range 1⩽q⩽2⩽p⩽∞$1\leqslant q\leqslant 2\leqslant p\leqslant \infty$. To do so, we suitably adapt to this setting the proof of Fefferman for the ball multiplier.
Fernando Ballesta Yagüe +1 more
wiley +1 more source
Trudinger inequalities without derivatives [PDF]
, 2002 We prove that the Trudinger inequality holds on connected homogeneous spaces for functions satisfying a very weak type of Poincar´e inequality. We also illustrate the connection between this result and the John-Nirenberg theorem for BMO.Training and ...
MacManus, Paul, Pérez Moreno, Carlos
core
Mixed‐norm estimates via the helicoidal method
Mathematika, Volume 70, Issue 3, July 2024.Abstract We prove multiple vector‐valued and mixed‐norm estimates for multilinear operators in Rd$\mathbb {R}^d$, more precisely for multilinear operators Tk$T_k$ associated to a symbol singular along a k$k$‐dimensional space and for multilinear variants of the Hardy‐Littlewood maximal function.
Cristina Benea, Camil Muscalu
wiley +1 more source
Weak Orlicz-Hardy Martingale Spaces [PDF]
, 2013 In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established.
Jiao, Yong, Wu, Lian
core
Martingale Hardy spaces with variable exponents
, 2016 In this paper, we introduce Hardy spaces with variable exponents defined on a probability space and develop the martingale theory of variable Hardy spaces.
Chen, Wei +3 more
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Mixed weak‐type inequalities in Euclidean spaces and in spaces of the homogeneous type
Mathematische Nachrichten, Volume 297, Issue 4, Page 1370-1406, April 2024.Abstract In this paper, we provide mixed weak‐type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente et al. One of the main novelties is that, besides obtaining estimates in the Euclidean setting, results are provided as well in spaces of the ...
Gonzalo Ibañez‐Firnkorn +1 more
wiley +1 more source
Spaces H^1 and BMO on ax+b-groups
, 2008 Let S be the semidirect product of R^d and R^+ endowed with the Riemannian symmetric space metric and the right Haar measure: this is a Lie group of exponential growth. In this paper we define an Hardy space H^1 and a BMO space in this context.
Vallarino, Maria
core +1 more source
Notes on Interpolation Inequalities
Advances in Difference Equations, 2011 An easy proof of the John-Nirenberg inequality is provided by merely using the Calderón-Zygmund decomposition. Moreover, an interpolation inequality is presented with the help of the John-Nirenberg inequality.
Xiao Ti-Jun, Dong Jiu-Gang
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