Results 61 to 70 of about 800 (184)
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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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
Morrey spaces, weak Morrey spaces and composition operator
In a self-contained presentation, we discuss the Morrey and weak-Morrey spaces. Boundedness and compactness of the composition operator defined on these spaces are also studied.
Rene Erlin Castillo +2 more
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Decomposition of Hardy–Morrey spaces
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]
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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Commutators of θ-type generalized fractional integrals on non-homogeneous spaces
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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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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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
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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Embedding from Morrey spaces to Morrey-Stummel spaces
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
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A Thought on Generalized Morrey Spaces [PDF]
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 $p$.
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