Results 291 to 300 of about 102,383 (324)
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Mathematical Proceedings of the Cambridge Philosophical Society, 2003
The authors consider the inhomogeneous Cauchy problem \[ u'(t)= Au(t)+ f(t),\quad t\in [0,\tau),\quad u(0)= 0, \] where \(A\) is the generator of an analytic \(C_0\)-semigroup \(T(t)\) on a Banach space \(X\) and \(f\in L^p(0, \tau; X)\). They associate a closed operator \(A_1\) with \(A\) defined on \(\text{Rad}(X)\) and show that when \(X\) is a UMD ...
Arendt, Wolfgang, Bu, Shangquan
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The authors consider the inhomogeneous Cauchy problem \[ u'(t)= Au(t)+ f(t),\quad t\in [0,\tau),\quad u(0)= 0, \] where \(A\) is the generator of an analytic \(C_0\)-semigroup \(T(t)\) on a Banach space \(X\) and \(f\in L^p(0, \tau; X)\). They associate a closed operator \(A_1\) with \(A\) defined on \(\text{Rad}(X)\) and show that when \(X\) is a UMD ...
Arendt, Wolfgang, Bu, Shangquan
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Regularity of General Maximal and Minimal Functions
Mediterranean Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Jing, Liu, Feng
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Counterexamples on $L_p$ -maximal regularity
Mathematische Zeitschrift, 1999We establish a transference result for \(L^p\)-maximal regularity for the abstract Cauchy problem on Banach space.
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Maximal regular subsemibands of SOP n
Semigroup Forum, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2015
In this paper, we prove maximal regularity estimates in “square function spaces” which are commonly used in harmonic analysis, spectral theory, and stochastic analysis. In particular, they lead to a new class of maximal regularity results for both deterministic and stochastic equations in L p -spaces with ...
Van Neerven, J.M.A.M. (author) +2 more
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In this paper, we prove maximal regularity estimates in “square function spaces” which are commonly used in harmonic analysis, spectral theory, and stochastic analysis. In particular, they lead to a new class of maximal regularity results for both deterministic and stochastic equations in L p -spaces with ...
Van Neerven, J.M.A.M. (author) +2 more
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Regular, Commutative, Maximal Semigroups of Quotients
Canadian Mathematical Bulletin, 1975A well-known theorem which goes back to R. E. Johnson [4], asserts that if R is a ring then Q(R), its maximal ring of quotients is regular (in the sense of v. Neumann) if and only if the singular ideal of R vanishes. In the theory of semigroups a natural question is therefore the following: Do there exist properties which characterize those semigroups ...
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A REMARK ON THE REGULARITY OF THE DISCRETE MAXIMAL OPERATOR
Bulletin of the Australian Mathematical Society, 2016We study the regularity properties of several classes of discrete maximal operators acting on $\text{BV}(\mathbb{Z})$ functions or $\ell ^{1}(\mathbb{Z})$ functions. We establish sharp bounds and continuity for the derivative of these discrete maximal functions, in both the centred and uncentred versions.
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Perturbation theorems for maximal \(L_p\)-regularity
2001The authors consider perturbation theorems for \(R\)-sectorial operators. Let \(A\) be an \(R\)-sectorial operator in a Banach space \(X\). Let \(B\) be a perturbation for \(A\) which is relatively small with respect to \(A\). Then \(A+B\) is also \(R\)-sectorial. This result seems to be a generalization of the Kato-Rellich Theorem and the KLMN-Theorem.
Kunstmann, Peer Christian, Weis, Lutz
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