Results 71 to 80 of about 1,350 (213)
Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces
Journal of Function Spaces, 2019 This research is concerned with second-order linear differential equation f′′+A(z)f=0, where A(z) is an analytic function in the unit disc. On the one hand, some sufficient conditions for the solutions to be in α-Bloch (little α-Bloch) space are found by
Jianren Long +3 more
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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
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Journal of Inequalities and Applications, 2020 In this paper, we prove weighted norm inequalities for vector-valued multilinear singular integrals with nonsmooth kernels and commutators on generalized weighted Morrey space.
Nan Zhao, Jiang Zhou
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, 2003 In recent years, there has been considerable interest in extending the well-known Calderon–Zygmund estimates for the Laplacian to more general equations, in particular equations with highest order coefficients lying in the Sarason space VMO. In addition,
Gary M. Lieberman, Lieberman, Gary M.
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Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract Building on an approach introduced by Golovkin in the ’60s, we show that nonuniqueness in some forced partial differential equations is a direct consequence of the existence of a self‐similar linearly unstable eigenvalue: the key point is a clever choice of the forcing term removing complicated nonlinear interactions.
Michele Dolce, Giulia Mescolini
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Decomposition of Hardy–Morrey spaces
Journal of Mathematical Analysis and Applications, 2009 Let \(M^p_q\), \(0< q\leq p 0}|B(x,R)|^{1/p- 1/q}\| f\|_{L^q(B(x,R))}
Jia, Houyu, Wang, Henggeng
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THE HARDY AND HEISENBERG INEQUALITIES IN MORREY SPACES [PDF]
Bulletin of the Australian Mathematical Society, 2018 We use the Morrey norm estimate for the imaginary power of the Laplacian to prove an interpolation inequality for the fractional power of the Laplacian on Morrey spaces. We then prove a Hardy-type inequality and use it together with the interpolation inequality to obtain a Heisenberg-type inequality in Morrey spaces.
HENDRA GUNAWAN +3 more
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Bulletin of Mathematical SciencesLet [Formula: see text], [Formula: see text], and [Formula: see text] denote the Triebel–Lizorkin–Bourgain–Morrey space, whose special case was originally introduced by Bourgain.
Yangningrui Wan, Dachun Yang, Yirui Zhao
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Commutators of θ-type generalized fractional integrals on non-homogeneous spaces
Journal of Inequalities and Applications, 2020 The aim of this paper is to establish the boundednes of the commutator [ b , T α ] $[b,T_{\alpha }]$ generated by θ-type generalized fractional integral T α $T_{\alpha }$ and b ∈ RBMO ˜ ( μ ) $b\in \widetilde{\mathrm{RBMO}}(\mu )$ over a non-homogeneous ...
Guanghui Lu
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Journal of Function Spaces, 2022 In this paper, we establish the boundedness of the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces, respectively.
Mingquan Wei, Lanyin Sun
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