Dirichlet Spaces Associated with Locally Finite Rooted Directed Trees
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DOI: 10.1007/s00020-017-2400-z
Abstract: Let $$\mathscr {T}=(V, \mathcal E)$$T=(V,E) be a leafless, locally finite rooted directed tree. We associate with $$\mathscr {T}$$T a one parameter family of Dirichlet spaces $$\mathscr {H}_q~(q \geqslant 1)$$Hq(q⩾1), which turn out to be Hilbert… read more here.
Keywords: directed trees; dirichlet spaces; rooted directed; finite rooted ... See more keywords
On scales of Sobolev spaces associated to generalized Hardy operators
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DOI: 10.1007/s00209-020-02651-0
Abstract: We consider the fractional Laplacian with Hardy potential and study the scale of homogeneous $L^p$ Sobolev spaces generated by this operator. Besides generalized and reversed Hardy inequalities, the analysis relies on a Hormander multiplier theorem… read more here.
Keywords: associated generalized; hardy; spaces associated; scales sobolev ... See more keywords
Completeness of Inner Product Spaces Associated with Functional on Jordan Structures
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DOI: 10.1134/s1995080220040277
Abstract: Abstract We show that a normal functional $$\varphi$$ on a $$JBW^{\ast}$$ triple induces, via Gelfand–Naimark–Segal like construction, a complete inner product space if and only if $$\varphi$$ is a finite convex combination of extreme points… read more here.
Keywords: completeness inner; inner product; spaces associated; product spaces ... See more keywords
Variable Besov–Morrey Spaces Associated with Operators
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DOI: 10.3390/math11092038
Abstract: Let (X,d,μ) be a space of homogenous type and L be a non-negative self-adjoint operator on L2(X) with heat kernels satisfying Gaussian upper bounds. In this paper, we introduce the variable Besov–Morrey space associated with… read more here.
Keywords: variable besov; associated operators; besov morrey; morrey spaces ... See more keywords
Inhomogeneous multi-parameter Besov and Triebel-Lizorkin spaces associated with different homogeneities and boundedness of composition operators
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DOI: 10.7153/jmi-2020-14-48
Abstract: In this paper, the author establishes inhomogeneous multi-parameter Besov and TriebelLizorkin spaces associated with different homogeneities. Moreover, the boundedness of the composition of two inhomogeneous Calderón-Zygmund singular integrals of order (ε ,σ) with different homogeneities… read more here.
Keywords: different homogeneities; multi parameter; associated different; inhomogeneous multi ... See more keywords