The Littlewood-Paley theory for Jacobi expansions [PDF]
, 1979 The machinery for harmonic analysis utilizing Jacobi polynomial expansions is developed using the explicit form of the convolution kernel discovered by Gasper.
William C. Connett, Alan L. Schwartz
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On the regularity of the one-sided Hardy-Littlewood maximal functions [PDF]
, 2017 summary:In this paper we study the regularity properties of the one-dimensional one-sided Hardy-Littlewood maximal operators $\mathcal {M}^+$ and $\mathcal {M}^-$.
Mao, Suzhen, Liu, Feng
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Comparison of Hardy–Littlewood and dyadic maximal functions on spaces of homogeneous type [PDF]
, 2005 We obtain a comparison of the level sets for two maximal functions on a space of homogeneous type: the Hardy–Littlewood maximal function of mean values over balls and the dyadic maximal function of mean values over the dyadic sets introduced by M. Christ
Aimar, Hugo Alejandro +6 more
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New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory [PDF]
, 2009 A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller that the m-fold product of the Hardy-Littlewood maximal function is studied.
Ombrosi, Sheldy J. +11 more
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Harmonic functions, conjugate harmonic functions and the Hardy space H1 in the rational Dunkl setting [PDF]
, 2019 International audienceIn this work we extend the theory of the classical Hardy space H 1 to the rational Dunkl setting. Specifically, let ∆ be the Dunkl Laplacian on a Euclidean space R N.
Hejna, Agnieszka +2 more
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Subdyadic square functions and applications to weighted harmonic analysis [PDF]
, 2017 Through the study of novel variants of the classical Littlewood–Paley–Stein g-functions, we obtain pointwise estimates for broad classes of highly-singular Fourier multipliers on ℝd satisfying regularity hypotheses adapted to fine (subdyadic) scales.
Beltran, David +3 more
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Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]
, 2004 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483MR#: MR2047389 (2005k:42062)Zbl#: Zbl 1081.42024In this ...
Pestana, Domingo +3 more
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A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
Maximal functions for groups of operators. [PDF]
, 2000 Let Δ be the Laplace operator on d and 1 < δ < 2. Using transference methods we show that, for max {q, q/(q – 1)} < 4d/(2d + 1 – δ), the maximal function for the Schrödinger group is in Lq, for f Lq with Δδ/2 f Lq. We obtain a similar result for the Airy
Blower, G. +2 more
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On grand Sobolev spaces and pointwise description of Banach function spaces [PDF]
, 2021 We obtain a pointwise description of functions belonging to function spaces with the lattice property. In particular, it is valid for Banach function spaces provided that the Hardy-Littlewood maximal operator is bounded.
Pankaj Jain +7 more
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