Results 51 to 60 of about 3,031 (226)
Counselling and Psychotherapy Research, Volume 25, Issue 3, September 2025.ABSTRACT This qualitative study explores therapists' experiences of the therapeutic relationship when therapy is conducted in natural public spaces, such as parks, footpaths and community gardens. Drawing on therapists' experiences of working outdoors with their clients, the aim was to capture and understand how the therapeutic relationship is impacted
Elaine Moore, Faisal Mahmood
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Open MathematicsWe define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
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Journal of Function Spaces, 2016 We first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then, we discuss the strong-type and weak-type estimates for a class of Calderón–Zygmund type operators Tθ in these new Morrey ...
Hua Wang
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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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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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Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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AIMS Mathematics, 2021 In this paper, we introduce weighted Morrey-Herz spaces $ M\dot K^{\alpha, \lambda}_{q, p(\cdot)}(w~^{p(\cdot)}) $ with variable exponent $ p(\cdot) $. Then we prove the boundedness of multilinear Calderón-Zygmund singular operators on weighted Lebesgue ...
Yueping Zhu, Yan Tang, Lixin Jiang
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Supersonic flows of the Euler–Poisson system with nonzero vorticities in three‐dimensional cylinders
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We prove the unique existence of three‐dimensional supersonic solutions to the steady Euler–Poisson system in cylindrical nozzles. First, we establish the unique existence of irrotational solutions in a cylindrical nozzle with an arbitrary cross‐section with using weighted Sobolev norms.
Myoungjean Bae, Hyangdong Park
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Journal of Function Spaces, 2017 We give sufficient conditions for subsets to be precompact sets in variable Morrey spaces. Then we obtain the boundedness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces.
Wei Wang, Jingshi Xu
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Poisson equations and Morrey spaces
Journal of Mathematical Analysis and Applications, 1992 Let \(\Omega\) be an open bounded subset of \(\mathbb{R}^ n\) (\(n\geq 3\)) and there exists \(A>0\) such that \(| \Omega\cap B(x,r)|\geq A| B(x,r)|\) for \(x\in\Omega\) and ...
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