Results 31 to 40 of about 374 (176)
Lacunary differentiability of functions in
Journal of Approximation Theory, 1984 AbstractThe existence of directional derivatives of functions in the Sobolev spaces Lpk(Rn) is studied. The novelty consists in calculating them through lacunary incremental quotients. Under these conditions no restrictions on p are necessary; the condition p > (nk) can be dropped.
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Lacunary series in QK type spaces
Journal of Function Spaces and Applications, 2008 Under mild conditions on the weight function K we characterize lacunary series in QK(p,q) spaces, where QK(p,q) spaces are QK type spaces of functions analytic in the unit disk.
Jizhen Zhou
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On Some New Sequence Spaces and Statistical Convergence Methods for Double Sequences
Demonstratio Mathematica, 2014 In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences.
Belen Cemal, Yildirim Mustafa
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The Numerical Range of C*ψ Cφ and Cφ C*ψ
Concrete Operators, 2021 In this paper we investigate the numerical range of C*bφm Caφn and Caφn C*bφm on the Hardy space where φ is an inner function fixing the origin and a and b are points in the open unit disc.
Clifford John +2 more
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Maximal Functions Along Convex Curves with Lacunary Directions [PDF]
Taiwanese Journal of Mathematics, 2022 The maximal function \(M_\gamma\) along the curve \((t,\gamma(t))\) is defined by \[ M_\gamma f(x_1,x_2):=\sup_{\varepsilon>0}\frac{1}{2\varepsilon}\int^\varepsilon_{-\varepsilon} | f(x_1-t,x_2-\gamma(t))|dt. \] The question of whether this operator \(M_\gamma\) is bounded on \(L^p(\mathbb{R}^2)\) has received much attention in the last few decades. In
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
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Critical temperatures of the Ising model on Sierpiñski fractal lattices [PDF]
EPJ Web of Conferences, 2020 We report our latest results of the spectra and critical temperatures of the partition function of the Ising model on deterministic Sierpiñski carpets in a wide range of fractal dimensions. Several examples of spectra are given.
Perreau Michel
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Lacunary Sets and Function Spaces with Finite Cotype
Journal of Functional Analysis, 2002 Let \(G\) be an infinite metrizable compact Abelian group and let \(\Gamma\) be its dual group. Let \(U(G)\subseteq C(G)\) denote the space of functions with uniformly convergent Fourier series. For an Orlicz function~\(\psi\) let \(L^\psi\) denote the Orlicz space associated to~\(\psi\).
Lefèvre, P. +3 more
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Lacunary Discrete Spherical Maximal Functions
, 2018 We prove new $\ell ^{p} (\mathbb Z ^{d})$ bounds for discrete spherical averages in dimensions $ d \geq 5$. We focus on the case of lacunary radii, first for general lacunary radii, and then for certain kinds of highly composite choices of radii. In particular, if $ A _{λ} f $ is the spherical average of $ f$ over the discrete sphere of radius $ λ$, we
Kesler, Robert +2 more
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EcoEnergy, EarlyView.This review focuses on multielectron redox regulation across molecular and hybrid architectures for photocatalytic CO2 reduction, covering intrinsic POM photocatalysts, photosensitizer‐assisted assemblies, POM–metal–organic complexes, and POM‐integrated semiconductors and MOF/COF heterostructures to link structural motifs with charge transport, product
Bonan Li, Xiaowen Ruan, Sai Kishore Ravi
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