Composition Operators with Monomial Symbol Acting on Weighted Hardy Spaces
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DOI: 10.1007/s00009-017-1040-5
Abstract: Let $$C_{\varphi }$$Cφ be the composition operator with monomial symbol $$\varphi (z)=z^m$$φ(z)=zm, $$z\in \mathbb {D}$$z∈D, for some positive integer m. In this article, we investigate the point spectrum, spectrum, and essential spectrum of the operators… read more here.
Keywords: monomial symbol; weighted hardy; hardy spaces; varphi ... See more keywords
On some invariance of the quotient mean with respect to Makó–Páles means
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DOI: 10.1007/s00010-017-0502-y
Abstract: Given a continuous strictly monotone function $$\varphi $$φ defined on an open real interval I and a probability measure $$\mu $$μ on the Borel subsets of [0, 1], the Makó–Páles mean is defined by $$\begin{aligned} {\mathcal… read more here.
Keywords: quotient mean; varphi psi; mak les; invariance quotient ... See more keywords
Rational versus transcendental points on analytic Riemann surfaces
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DOI: 10.1007/s00229-021-01324-4
Abstract: Let (X, L) be a polarized variety over a number field K. We suppose that L is an hermitian line bundle. Let M be a non compact Riemann Surface and $$U\subset M$$ be a relatively compact… read more here.
Keywords: bounded polynomial; varphi; let; versus transcendental ... See more keywords
Two classes of bilinear fractional integral operators and their commutators on generalized fractional Morrey spaces
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DOI: 10.1007/s11868-021-00425-8
Abstract: In this paper, the authors prove that the following form of bilinear fractional integral operator $$\begin{aligned} B_{\alpha }(f,g)(x):=\int _{\mathbb {R}^{n}}\frac{f(x-y)g(x+y)}{|y|^{n-\alpha }}\mathrm {d}y \end{aligned}$$ is bounded from the product of generalized fractional Morrey spaces $${\mathcal {L}}^{p_{1},\eta… read more here.
Keywords: mathcal eta; varphi mathbb; mathbb; varphi ... See more keywords
Angular Derivatives for Holomorphic Self-Maps of the Disk
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DOI: 10.1007/s40315-017-0199-x
Abstract: Let the function $$\varphi $$φ be holomorphic in the unit disk $$\mathbb {D}$$D and let $$\varphi (\mathbb {D})\subset \mathbb {D}$$φ(D)⊂D. We consider points $$\zeta \in \partial \mathbb {D}$$ζ∈∂D where $$\varphi $$φ has an angular limit… read more here.
Keywords: points zeta; angular derivatives; mathbb; varphi ... See more keywords
Mappings Preserving Sum of Products $$a\circ b-ba^{*}$$a∘b-ba∗ on Factor von Neumann Algebras
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DOI: 10.1007/s41980-020-00406-5
Abstract: Let $$\mathcal {A}$$ and $$\mathcal {B}$$ be two factor von Neumann algebras. In this paper, we proved that a bijective mapping $$\varPhi :\mathcal {A}\rightarrow \mathcal {B}$$ satisfies $$\varPhi (a\circ b-ba^{*})=\varPhi (a)\circ \varPhi (b)-\varPhi (b)\varPhi (a)^{*}$$… read more here.
Keywords: factor von; neumann algebras; von neumann; varphi ... See more keywords
Differences of Stević–Sharma operators
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DOI: 10.1007/s43037-019-00051-z
Abstract: A generalization of the products of composition, multiplication and differentiation operators is the Stevic–Sharma operator $$T_{u_1,u_2,\varphi }$$ , defined by $$T_{u_1,u_2,\varphi }f=u_1\cdot f\circ \varphi +u_2\cdot f'\circ \varphi $$ , where $$u_1,u_2,\varphi $$ are holomorphic functions… read more here.
Keywords: stevi sharma; composition; varphi; differences stevi ... See more keywords
Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel
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DOI: 10.1016/j.aim.2021.107692
Abstract: We study interior $L^p$-regularity theory, also known as Calderon-Zygmund theory, of the equation \[ \int_{\mathbb{R}^n} \int_{\mathbb{R}^n} \frac{K(x,y)\ (u(x)-u(y))\, (\varphi(x)-\varphi(y))}{|x-y|^{n+2s}}\, dx\, dy = \langle f, \varphi \rangle \quad \varphi \in C_c^\infty(\mathbb{R}^n). \] For $s \in (0,1)$,… read more here.
Keywords: varphi; delta; mathbb; int mathbb ... See more keywords
Statistics of inflating regions in eternal inflation
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DOI: 10.1103/physrevd.100.023513
Abstract: We compute the distribution of sizes of inflating regions (surrounded by non inflating ones) in an eternally inflating Universe. As a first illustrative problem, we study a simple scenario of an eternally inflating Universe in… read more here.
Keywords: varphi; field; varphi varphi; inflating regions ... See more keywords
Asymptotic analysis of positive solutions of first-order cyclic functional differential systems
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DOI: 10.1515/gmj-2016-0085
Abstract: Abstract The structure and the asymptotic behavior of positive increasing solutions of functional differential systems of the form x ′ ( t ) = p ( t ) φ α (… read more here.
Keywords: bigl; varphi; bigl bigr; functional differential ... See more keywords
Pentagonal quasigroups, their translatability and parastrophes
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DOI: 10.1515/math-2021-0004
Abstract: Abstract Any pentagonal quasigroup Q Q is proved to have the product x y = φ ( x ) + y − φ ( y ) xy=\varphi \left(x)+y-\varphi (y) , where ( Q , +… read more here.
Keywords: pentagonal quasigroup; quasigroups translatability; varphi; pentagonal quasigroups ... See more keywords