Results 61 to 70 of about 145 (135)
Banach algebra of the Fourier multipliers on weighted Banach function spaces
Concrete Operators, 2015 Let MX,w(ℝ) denote the algebra of the Fourier multipliers on a separable weighted Banach function space X(ℝ,w).We prove that if the Cauchy singular integral operator S is bounded on X(ℝ, w), thenMX,w(ℝ) is continuously embedded into L∞(ℝ).
Karlovich Alexei
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Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases [PDF]
Transactions of the American Mathematical Society, 2015 Let B \mathfrak {B} be a homothecy invariant collection of convex ...
Hagelstein, Paul +2 more
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A direct proof of the weighted Pólya–Knopp inequality following Carleson’s method
Comptes Rendus. MathématiqueThe aim of the paper is to provide a direct proof of the weighted Pólya–Knopp inequality. This inequality (which is a limiting case of the Ariño–Muckenhoupt inequalities), involving non-increasing functions, was initially established by Sbordone–Wik, who
Kondo, Emu +2 more
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Electronic Journal of Differential Equations, 2017 In this article we consider quasi-linear second-order elliptic equations of divergence structure with Makenhaupt weight that degenerates over a small part of the domain. We show that the classical Harnack's inequality does not hold in this case, and
Yuriy A. Alkhutov, Sarvan T. Huseynov
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Muckenhoupt weights and Lindelöf theorem for harmonic mappings
Advances in Mathematics, 2015 We extend the result of Lavrentiev which asserts that the harmonic measure and the arc-length measure are $A_\infty$ equivalent in a chord-arc Jordan domain. By using this result we extend the classical result of Lindelöf to the class of quasiconformal (q.c.) harmonic mappings by proving the following assertion.
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MathematicsWe establish explicit direct and inverse approximation estimates for biorthogonal multiresolution projections on weighted Besov spaces over Muckenhoupt Ap weights.
Kai-Cheng Wang
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An extension of the Muckenhoupt–Wheeden theorem to generalized weighted Morrey spaces
Georgian Mathematical Journal, 2020 Abstract In this paper, we find the condition on a function ω and a weight v which ensures the equivalency of norms of the Riesz potential and the fractional maximal function in generalized weighted Morrey spaces
Mustafayev, R. +1 more
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Removable sets for Sobolev spaces with Muckenhoupt $A_1$-weight
Sibirskie Elektronnye Matematicheskie Izvestiya, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Parabolic Muckenhoupt weights in the Euclidean space
Journal of Mathematical Analysis and Applications, 2011 The author introduces the parabolic analogue to Muckenhoupt's \(A_p\) weights. Given a cube \(Q=\prod_{i=1}^n [a_i, a_i+h]\) and \(r>0\), the author denotes by \[ Q^{+,r}= \prod_{i=1}^{n-1} \big[a_i,a_i+h\big]\times \big[a_n+rh,a_n+(r+1)h\big] \] the forward in time \(r\)-translation of the cube. Similarly, the backward \(r\)-translation is denoted by \
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