Results 261 to 270 of about 10,912 (293)
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REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
Bulletin of the London Mathematical Society, 2003The purpose of this work is to show that the fractional maximal operator has somewhat unexpected regularity properties. Our main result shows that the fractional maximal operator maps \(L^p\)-spaces boundedly into certain first-order Sobolev spaces. We also prove that the fractional maximal operator preserves first-order Sobolev spaces.
Kinnunen, Juha, Saksman, Eero
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Regularity of Local Bilinear Maximal Operator
Results in Mathematics, 2021Given an open set \(\Omega\) in \(\mathbb{R}^n\) and \(0\leq ...
Feng Liu, Shifen Wang, Qingying Xue
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Regular Maximal Monotone Operators
Set-Valued Analysis, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verona, Andrei, Verona, Maria E.
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On clustering for maximal regularity extraction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1993The authors point out that proper usage of regularity in digital systems leads to efficient as well as economical designs. This important question of regularity extraction is examined, and a general and efficient methodology for component clustering based on the concept of structural regularity is presented.
D. Sreenivasa Rao, Fadi J. Kurdahi
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Counterexamples to maximal regularity for operators in divergence form
Archiv Der MathematikIn this paper, we present counterexamples to maximal $L^p$-regularity for a parabolic PDE. The example is a second-order operator in divergence form with space and time-dependent coefficients. It is well-known from Lions' theory that such operators admit
Sebastian Bechtel +2 more
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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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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 COMMUTATORS OF THE BILINEAR MAXIMAL OPERATOR
Rocky Mountain Journal of Mathematics, 2023In this paper, the authors introduce and study the regularity properties of the commutator of the bilinear maximal operator and the bilinear maximal commutator. More precisely, they establish the bounds and continuity for the commutators of the bilinear maximal operator and the bilinear maximal commutator on the Sobolev spaces, the inhomogeneous ...
Wang, Guoru, Liu, Feng
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Maximal independent sets and regularity of graphs
International Journal of Algebra and Computation, 2021In this paper, we give a lower bound of the number of maximal independent sets in a graph [Formula: see text] in terms of the Castelnuovo–Mumford regularity of its edge ideal. We also find two classes of graphs achieving this minimum value.
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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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