Results 61 to 70 of about 471 (175)

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

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

Analytic Morrey Spaces and Bloch-Type Spaces

Journal of Function Spaces, 2018
This paper is devoted to characterizing the boundedness of the Riemann-Stieltjes operators from analytic Morrey spaces to Bloch-type spaces. Moreover, the boundedness of the superposition operator and weighted composition operator on analytic Morrey ...
Ofori Samuel, Jianfei Wang, Yile Zhao
doaj   +1 more source

Embedding from Morrey spaces to Morrey-Stummel spaces

Hilbert Journal of Mathematical Analysis
In this paper, we study the relation between Stummel spaces, Morrey spaces, and Lebesgue spaces. We show the existence of embedding from Lebesgue spaces to Stummel spaces, and from Morrey spaces to Stummel spaces. The key of showing the existence of embeddings relies on the boundedness of Riesz potential operator both in Morrey spaces and Lebesgue ...
Artmo Dihartomo Laweangi, Hendra Gunawan
openaire   +1 more source

A Thought on Generalized Morrey Spaces [PDF]

Journal of the Indonesian Mathematical Society, 2019
Morrey spaces can complement the boundedness propertiesof operators that Lebesgue spaces can not handle.Morrey spaces which we have been handling are called classical Morrey spaces.However,classical Morrey spaces are not totally enough to describe the boundedness properties.To this end, we need to generalize parameters $p$ and $q$, among others $p$.
openaire   +3 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

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

Morrey Spaces for Nonhomogeneous Metric Measure Spaces [PDF]

Abstract and Applied Analysis, 2013
The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.
Yonghui, Cao, Jiang, Zhou
openaire   +3 more sources