Results 51 to 60 of about 11,803 (243)
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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Riesz potential on the Heisenberg group and modified Morrey spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we study the fractional maximal operator Mα, 0 ≤ α < Q and the Riesz potential operator ℑα, 0 < α < Q on the Heisenberg group in the modified Morrey spaces L͂p,λ(ℍn), where Q = 2n + 2 is the homogeneous dimension on ℍn.
Guliyev Vagif S., Mammadov Yagub Y.
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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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Boundedness of some operators on grand generalized Morrey spaces over non-homogeneous spaces
AIMS Mathematics, 2022 The aim of this paper is to obtain the boundedness of some operator on grand generalized Morrey space $\mathcal{L}^{p),\varphi,\phi}_{\mu}(G)$ over non-homogeneous spaces, where $G\subset$ $\mathbb{R}^{n}$ is a bounded domain.
Suixin He, Shuangping Tao
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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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$ B_{\sigma} $-grand Morrey spaces
Electronic Research ArchiveIn this paper, we define the $ B_{\sigma} $-type grand Morrey spaces and establish the extrapolation theorem on the $ B_{\sigma} $-type grand Morrey spaces.
Yixiang Wang, Jiang Zhou
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Zygmund inequality of the conjugate function on Morrey-Zygmund spaces
Demonstratio Mathematica, 2019 We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
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Boundedness of fractional maximal operator and its commutators on generalized Orlicz-Morrey spaces
, 2014 We consider generalized Orlicz-Morrey spaces $M_{\Phi,\varphi}(\mathbb{R}^{n})$ including their weak versions $WM_{\Phi,\varphi}(\mathbb{R}^{n})$. We find the sufficient conditions on the pairs $(\varphi_{1},\varphi_{2})$ and $(\Phi, \Psi)$ which ensures
Deringoz, Fatih, Guliyev, Vagif S.
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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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Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
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