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Nuclear Embeddings of Morrey Sequence Spaces and Smoothness Morrey Spaces
We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smoothness spaces of functions defined on a bounded...
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Morrey smoothness spaces: A new approach
In the recent years, the so-called Morrey smoothness spaces attracted a lot of interest. They can (also) be understood as generalisations of the...
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Traces of Generalized Smoothness Morrey Spaces on Domains
In this chapter we deal with traces of functions in generalized smoothness Morrey spaces on the boundary of C k domains Ω.
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Boundary Value Problems for Elliptic Systems on Weighted Morrey Spaces in Rough Domains
The goal of this paper is to present solvability results for boundary value problems for weakly elliptic, homogeneous, constant complex coefficient,...
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Nuclear and Compact Embeddings in Function Spaces of Generalised Smoothness
We study nuclear embeddings for function spaces of generalised smoothness defined on a bounded Lipschitz domain Ω ⊂ ℝ d . This covers, in particular,...
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On the Predual of a Morrey–Lorentz Space and Its Applications to the Linear Calderón–Zygmund Operators
Our main purpose in this paper is to construct a predual of Morrey–Lorentz space via the block spaces, defined in [Ann. Scuola Norm. Sup. Pisa Cl....
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Bounds for Multilinear Operators under an Integral Type Condition on Morrey Spaces
In this paper, we study a boundedness property of the Adams type for multilinear fractional integral operators with the multilinear L r ′, α -Hörmander...
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On the characterization of harmonic functions with initial data in Morrey space
Let ( X, d, μ ) be a metric measure space satisfying the doubling condition and an L 2 -Poincaré inequality. Consider the nonnegative operator
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Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces
Assume that L is a non-negative self-adjoint operator on L 2 (ℝ n ) with its heat kernels satisfying the so-called Gaussian upper bound estimate and that X ...
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On the Commutator of Marcinkiewicz Integrals with Rough Kernels in Variable Morrey-Type Spaces
Within the framework of variable-exponent Morrey and Morrey–Herz spaces, we prove some boundedness results for the commutator of Marcinkiewicz...
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Existence of minimisers of variational problems posed in spaces of mixed smoothness
The present work constitutes a first step towards establishing a systematic framework for treating variational problems that depend on a given input...
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The Superposition Operator and Strauss Lemma in Logarithmic Besov Spaces
In this article, the author studies the superposition operator and Strauss lemma in Besov spaces with logarithmic smoothness. As consequences, the...
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Boundary Value Problems for Elliptic Systems in Rough Domains
As a culmination of the work in Volumes I-V, here we shall formulate and solve boundary value problems for elliptic systems in a multitude of...