Results 211 to 220 of about 14,061 (244)

The Hilbert Transform on Rearrangement-Invariant Spaces

Canadian Journal of Mathematics, 1967
The purpose of this paper is to investigate conditions under which the Hilbert transform defines a bounded linear operator from a given function space into itself. The spaces with which we deal have the property of rearrangement-invariance which is defined in §1. This class of spaces includes the Lebesgue, Orlicz, and Lorentz spaces.
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On extrapolation of rearrangement invariant spaces

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Astashkin, S. V., Lykov, K. V., Mastyło, M.   +2 more
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The Laplace transform on the rearrangement of invariant spaces

Quaestiones Mathematicae, 2021
In a self contained presentation we study the boundedness of the Laplace transform on the rearrangement invariant Lebesgue Lp-space, we use real analysis techniques provided by convex analysis and the K-method.    
Castillo, René Erlin, Miranda B., A. Ricardo, Ramos-Fernández, Julio C.   +2 more
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Sequences of Independent Functions in Rearrangement Invariant Spaces

Siberian Mathematical Journal, 2021
Let \(m\) be Lebesgue measure on \([0,1]\). Consider two sequences \((g_j)\) and \((f_j)\) of symmetrically distributed independent measurable functions on \([0,1]\) such that there are constants \(C_1>0\) and \(C_2>0\) such that \[ m(\{ s \in [0,1]: |g_j(s)| >\tau \}) \le C_1 m(\{ s \in [0,1]: C_2 |f_j(s)| >\tau \}) \] for all \(\tau >0\) and \(j \in \
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Rearrangement-invariant morrey spaces and applications

Results in Mathematics
In this paper, the author introduces the rearrangement-invariant Morrey spaces. The author establishes the boundedness of the Hardy-Littlewood maximal operator on the rearrangement-invariant Morrey spaces. The author also obtains the mapping properties of the Fourier transform, the oscillatory integral, the Laplace transform, the Hankel transform, and ...
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Hermite Conjugate Functions and Rearrangement Invariant Spaces

Canadian Mathematical Bulletin, 1973
The Hermite conjugate Poisson integral of a given f ∊ L1(μ), dμ(y)= exp(—y2) dy, was defined by Muckenhoupt [5, p. 247] aswhereIf the Hermite conjugate function operator T is defined by (Tf) a.e., then one of the main results of [5] is that T is of weak-type (1, 1) and strongtype (p,p) for all p>l.
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Disjointly Strictly-Singular Inclusions between Rearrangement Invariant Spaces

Journal of the London Mathematical Society, 2000
An operator \(T\) from a Banach lattice \(X\) to a Banach space \(Y\) is said to be Disjointly Strictly-Singular (DSS) if there is no disjoint sequence of non-null vectors \((x_n)_{n\in\mathbb{N}}\) in \(X\) such that the restriction of \(T\) to the subspace \([(x_n)_{n\in\mathbb{N}}]\) spanned by the vectors \((x_n)_{n\in\mathbb{N}}\) is an ...
García del Amo, Alejandro, Hernández, Francisco L., Sánchez, Víctor M., Semenov, Evgueni M.   +3 more
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Martingale inequalities in rearrangement invariant spaces

Siberian Mathematical Journal, 1992
The authors define/recall the concept of decreasing rearrangement of a function, with the aid of which they define rearrangement invariant spaces and extend the Burkholder-Davis inequalities between moments of the maximal function and the square function, respectively, of a martingale to such spaces.
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Embedding property on rearrangement invariant spaces

Applied Mathematics-A Journal of Chinese Universities, 2012
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
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