Approximation by Trigonometric Polynomials in Rearrangement Invariant Quasi Banach Function Spaces
Mediterranean Journal of Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sadulla Jafarov
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Characterization of BMO in terms of rearrangement-invariant Banach function spaces [PDF]
Expositiones Mathematicae, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwok-Pun Ho
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On the properties of rearrangement-invariant quasi-Banach function spaces [PDF]
Nonlinear Analysis: Theory, Methods & ApplicationsThis paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the Luxemburg representation theorem for rearrangement-invariant quasi-Banach function spaces over resonant measure spaces.
Ales Nekvinda +2 more
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Gagliardo–Nirenberg Inequality for rearrangement-invariant Banach function spaces [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2019 The classical Gagliardo–Nirenberg interpolation inequality is a well-known estimate which gives, in particular, an estimate for the Lebesgue norm of intermediate derivatives of functions in Sobolev spaces. We present an extension of this estimate into the scale of the general rearrangement-invariant Banach function spaces with the proof based on the ...
Alberto Fiorenza +3 more
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Real interpolation with weighted rearrangement invariant Banach function spaces [PDF]
Journal of Evolution Equations, 2016 19 ...
Ralph Chill
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Approximation by polynomials in rearrangement invariant quasi Banach function spaces
Banach Journal of Mathematical Analysis, 2012 The author deals with the approximation properties of certain linear polynomial operators in rearrangement-invariant quasi-Banach function spaces \(X\) with absolutely continuous norm under the assumption that \(X\) is \(p\) convex for some \(p\in(0,1]\).
Ramazan Akgun
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On boundedness of the Hilbert transform on Marcinkiewicz spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 We study boundedness properties of the classical (singular) Hilbert transform (Hf)(t) = p.v.1/π ∫R f(s)/(t − s) ds, acting on Marcinkiewicz spaces. The Hilbert transform is a linear operator which arises from the study of boundary values of the real and
N.T. Bekbayev, K.S. Tulenov
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Symmetric polynomials on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 A survey of general results about symmetric polynomials on Banach spaces and rearrangement-invariant function spaces and some new results in this area are given. Some applications to Banach algebras are represented.
I. V. Chernega
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Singular integral operators with operator-valued kernels, and extrapolation of maximal regularity into rearrangement invariant Banach function spaces [PDF]
Journal of Evolution Equations, 2014 We prove two extrapolation results for singular integral operators with operator-valued kernels and we apply these results in order to obtain the following extrapolation of L p-maximal regularity: if an autonomous Cauchy problem on a Banach space has L p-maximal regularity for some p ∈ (1, ∞), then it has E w-maximal regularity for every rearrangement ...
R. CHILL, FIORENZA, ALBERTO
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Lebesgue's Differentiation Theorems in R.I. Quasi-Banach Spaces and Lorentz Spaces Γp,w
Journal of Function Spaces and Applications, 2012 The paper is devoted to investigation of new Lebesgue's type differentiation theorems (LDT) in rearrangement invariant (r.i.) quasi-Banach spaces E and in particular on Lorentz spaces Γp,w={f:∫(f ...
Maciej Ciesielski, Anna Kamińska
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