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A Simulation-Based Approach to Procedural Education in Resource-Limited Settings: Designing an Abdominal Trainer for Paracentesis and Lumbar Puncture. [PDF]
CureusHayden A +4 more
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Influence of LDL cholesterol and Lp(a) on monocytes and macrophages in atherosclerosis. [PDF]
Biochem Med (Zagreb)Ugovšek S +3 more
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Inferior vena cava angiography through the protective sleeve for right-heart visualization in helix-fixation ventricular leadless pacemaker implantation. [PDF]
Heart Rhythm O2Wu X, Cai Y, Ou Z, Qiu Z.
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1998
The L p -spaces of functions the pth power of whose absolute value is integrable are introduced. Minkowski’s and Holder’s inequality are shown, and the L p -spaces are seen to be Banach spaces. Also, the approximation of Lp-functions by smooth ones is discussed. These mollifications are also used to show the existence of partitions of unity.
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The L p -spaces of functions the pth power of whose absolute value is integrable are introduced. Minkowski’s and Holder’s inequality are shown, and the L p -spaces are seen to be Banach spaces. Also, the approximation of Lp-functions by smooth ones is discussed. These mollifications are also used to show the existence of partitions of unity.
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On the LP space of observables
Fuzzy Sets and Systems, 1999The author studies the subspace \(L^p\) of observables in fuzzy set considerations. The main result states that the subspace \(L^p\) considered with a suitable pseudometric is complete.
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The Wave Equation in Lp-Spaces
Semigroup Forum, 2005In the first part of the paper, Gaussian estimates are used to study $L^p$-summability of the solution of the wave equation in $L^p(\Omega)$ associated with a general operator in divergence form with bounded coefficients. Secondly, we prove that if $\Omega$ is a cube in $\RR^N$, then the Laplacian with Dirichlet or Neumann boundary conditions generates
Valentin Keyantuo, Mahamadi Warma
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2000
There are many mathematical problems for which the solution is a function of some kind, and it is often whole real line has the useful property that sums and constant multiples of functions in the set are also in the s both possible and convenient to specify in advance the set of functions within which the solution is to be sought.
M. Carter, B. van Brunt
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There are many mathematical problems for which the solution is a function of some kind, and it is often whole real line has the useful property that sums and constant multiples of functions in the set are also in the s both possible and convenient to specify in advance the set of functions within which the solution is to be sought.
M. Carter, B. van Brunt
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International Mathematics Research Notices, 2010
A representation theorem is established for continuous valuations on L p -spaces whose underlying measure is non-atomic. As a consequence, a complete classification is obtained of continuous translation invariant valuations on and of continuous rotation invariant valuations on L p (S n−1 ).2000 AMS subject classification: 46E30 (52B45)
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A representation theorem is established for continuous valuations on L p -spaces whose underlying measure is non-atomic. As a consequence, a complete classification is obtained of continuous translation invariant valuations on and of continuous rotation invariant valuations on L p (S n−1 ).2000 AMS subject classification: 46E30 (52B45)
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2002
Let { X,A,μ} be a measure space and let E be a measurable subset of X. A measurable function \(f:E \to {{\mathbb{R}}^{*}}\) is said to be in L P (E) for P≥1 if is integrable on E, i.e., if $$ \left\| f \right\|_p \mathop = \limits^{def} \left( {\smallint _E \left| f \right|^p d\mu } \right)^{1/p} < \infty $$ (1.1 ...
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Let { X,A,μ} be a measure space and let E be a measurable subset of X. A measurable function \(f:E \to {{\mathbb{R}}^{*}}\) is said to be in L P (E) for P≥1 if is integrable on E, i.e., if $$ \left\| f \right\|_p \mathop = \limits^{def} \left( {\smallint _E \left| f \right|^p d\mu } \right)^{1/p} < \infty $$ (1.1 ...
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