Results 71 to 80 of about 2,023 (204)

Talk With Me Outside: Therapists' Experiences of the Therapeutic Relationship in Natural Outdoor Settings

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
wiley   +1 more source

A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces

Boundary Value Problems, 2009
We show some inequalities for generalized fractional integral operators on generalized Morrey spaces. We also show the boundedness property of the generalized fractional integral operators on the predual of the generalized Morrey spaces.
Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka   +2 more
doaj   +2 more sources

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
wiley   +1 more source

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
wiley   +1 more source

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
openaire   +2 more sources

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, DENNY IVANAL HAKIM, EIICHI NAKAI, YOSHIHIRO SAWANO   +3 more
openaire   +4 more sources

Approximation in Morrey spaces

, 2016
A new subspace of Morrey spaces whose elements can be approximated by infinitely differentiable compactly supported functions is introduced. Consequently, we give an explicit description of the closure of the set of such functions in Morrey spaces.
Almeida, Alexandre, Samko, Stefan
core   +1 more source

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
wiley   +1 more source

Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj   +1 more source

Boundedness of p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey and BMO Spaces

Journal of Function Spaces and Applications, 2013
We obtain the sharp bounds of p-adic Hardy operators on p-adic central Morrey spaces and p-adic λ-central BMO spaces, respectively. We also establish the λ-central BMO estimates for commutators of p-adic Hardy operators on p-adic central Morrey spaces.
Qing Yan Wu, Ling Mi, Zun Wei Fu
doaj   +1 more source