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Wyszukujesz frazę "homogeneous space" wg kryterium: Temat


Wyświetlanie 1-8 z 8
Tytuł:
On the disjoint (0,N)-cells property for homogeneous ANRs
Autorzy:
Krupski, Paweł
Powiązania:
https://bibliotekanauki.pl/articles/967209.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
absolute neighborhood retract
generalized manifold
homogeneous space
disjoint cells property
$LC^n$-space
Opis:
A metric space (X,ϱ) satisfies the disjoint (0,n)-cells property provided for each point x ∈ X, any map f of the n-cell $B^{n}$ into X and for each ε > 0 there exist a point y ∈ X and a map $g:B^{n} → X$ such that ϱ(x,y) < ε, $\widehat{ϱ}(f,g) < ε$ and $y ∉ g(B^{n})$. It is proved that each homogeneous locally compact ANR of dimension >2 has the disjoint (0,2)-cells property. If dimX = n > 0, X has the disjoint (0,n-1)-cells property and X is a locally compact $LC^{n-1}$-space then local homologies satisfy $H_{k}(X,X-x) = 0$ for k < n and H_{n}(X,X-x) ≠ 0.
Źródło:
Colloquium Mathematicum; 1993, 66, 1; 77-84
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convex-like inequality, homogeneity, subadditivity, and a characterization of $L^p$-norm
Autorzy:
Matkowski, Janusz
Pycia, Marek
Powiązania:
https://bibliotekanauki.pl/articles/1311612.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
functional inequality
subadditive functions
homogeneous functions
Banach functionals
convex functions
linear space
cones
measure space
integrable step functions
$L^p$-norm
Minkowski's inequality
Opis:
Let a and b be fixed real numbers such that 0 < min{a,b} < 1 < a + b. We prove that every function f:(0,∞) → ℝ satisfying f(as + bt) ≤ af(s) + bf(t), s,t > 0, and such that $limsup_{t → 0+} f(t) ≤ 0$ must be of the form f(t) = f(1)t, t > 0. This improves an earlier result in [5] where, in particular, f is assumed to be nonnegative. Some generalizations for functions defined on cones in linear spaces are given. We apply these results to give a new characterization of the $L^p$-norm.
Źródło:
Annales Polonici Mathematici; 1994-1995, 60, 3; 221-230
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Weak type estimates for operators of potential type
Autorzy:
Wheeden, Richard L.
Zhao, Shiying
Powiązania:
https://bibliotekanauki.pl/articles/1287570.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
norm inequality
weight
operator of potential type
homogeneous space
Opis:
We derive two-weight weak type estimates for operators of potential type in homogeneous spaces. The conditions imposed on the weights are testing conditions of the kind first studied by E. T. Sawyer [4]. We also give some applications to strong type estimates as well as to operators on half-spaces.
Źródło:
Studia Mathematica; 1996, 119, 2; 149-160
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pointwise multipliers on weighted BMO spaces
Autorzy:
Nakai, Eiichi
Powiązania:
https://bibliotekanauki.pl/articles/1219567.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
multiplier
pointwise multiplier
bounded mean oscillation
space of homogeneous type
Opis:
Let E and F be spaces of real- or complex-valued functions defined on a set X. A real- or complex-valued function g defined on X is called a pointwise multiplier from E to F if the pointwise product fg belongs to F for each f ∈ E. We denote by PWM(E,F) the set of all pointwise multipliers from E to F. Let X be a space of homogeneous type in the sense of Coifman-Weiss. For 1 ≤ p < ∞ and for $ϕ: X×ℝ_{+} → ℝ_{+}$, we denote by $\text{bmo}_{ϕ,p}(X)$ the set of all functions $f ∈ L^{p}_{loc}(X)$ such that $\underset{a ∈ X, r>0}{\text{sup}} 1/{ϕ(a,r)} (1/μ(B(a,r)) \int_{B(a,r)} |f(x) -f_{B(a,r)}|^p dμ)^{1//p} < ∞$, where B(a,r) is the ball centered at a and of radius r, and $f_{B(a,r)}$ is the integral mean of f on B(a,r). Let $\text{bmo}_{ϕ}(X) =\text{bmo}_{ϕ,1}(X)$ and $\text{bmo}(X) = \text{bmo}_{1,1}(X)$. In this paper, we characterize $\text{PWM}(\text{bmo}_{ϕ1,p_1}(X), \text{bmo}_{ϕ2,p_2}(X))$. The following are examples of our results. $\text{PWM} (\text{bmo}_{(log(1//r))^{-α}}(\mathbb{T}^n), \text{bmo}_{(log(1//r))^{-β}}(\mathbb{T}^n)) = \text{bmo}_{(log(1//r))^{α-β-1}}(\mathbb{T}^n)$, 0≤β < α < 1, $\text{PWM} (\text{bmo}_{(log(1//r))^{-1}}(\mathbb{T}^n), \text{bmo} (\mathbb{T}^n)) = bmo_{(log log(1//r))^{-1}}(\mathbb{T}^n),$ $\text{PWM} (\text{bmo}(ℝ^n),\text{bmo}_{log(|a|+r+1//r),p}(ℝ^n)) = \text{bmo}(ℝ^n)$, 1 < p < ∞, etc.
Źródło:
Studia Mathematica; 1997, 125, 1; 35-56
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Two-weight norm inequalities for maximal functions on homogeneous spaces and boundary estimates
Autorzy:
Luís Zani, Sérgio
Powiązania:
https://bibliotekanauki.pl/articles/1219073.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
norm inequality
weight
maximal function
homogeneous space
Opis:
Let D be an open subset of a homogeneous space(X,d,μ). Consider the maximal function $M_φ f(x) = sup1/φ(B) ʃ_{B∩∂D} |f|dν$, x∈ D, where the supremum is taken over all balls of the form B = B(a(x),r) with r > t(x) = d(x,∂D), a(x)∈ ∂D is such that d(a(x),x) < 3/2 t(x)$ and φ is a nonnegative set function defined for all Borel sets of X satisfying the quasi-monotonicity and doubling properties. We give a necessary and sufficient condition on the weights w and v for the weighted norm inequality (0.1) $(ʃ_D [M_φ(f)]^q wdμ)^{1/q} ≤ c(ʃ_{∂D} |f|^p vdν)^{1/p}$ to hold when 1 < p < q < ∞, $σdν = v^{1-p'}dν$ is a doubling weight, and dν is a doubling measure, and give a sufficient condition for (0.1) when 1 < p ≤ q < ∞ without assuming that σ is a doubling weight but with an extra assumption on φ. Another characterization for (0.1) is also provided for 1 < p ≤ q < ∞ and D of the form Y×(0,∞), where Y is a homogeneous space with group structure. These results generalize some known theorems in the case when $M_φ$ is the fractional maximal function in $ℝ^{n+1}_+$, that is, when $M_φ f(x,t) = M_γ f(x,t) = sup_{r>t} 1/(ν(B(x,r))^{1-γ}) ʃ_{B(x,r)} |f|dν$, where $(x,t) ∈ ℝ^{n+1}_+$, 0 < γ < 1, and ν is a doubling measure in $ℝ^n$.
Źródło:
Studia Mathematica; 1997, 126, 1; 67-94
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Single-server queueing system with external and internal customers
Autorzy:
Tikhonenko, O.
Ziółkowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/199838.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
single-server queueing system with non-homogeneous customers
random volume customers
loss probability
total volume distribution
Laplace transform
Laplace-Stieltjes transform
RAM memory space
prawdopodobieństwo straty
transformacja Laplace'a
transformata Laplace'a-Stieltjesa
pamięć RAM
Opis:
In the paper, we investigate a single-server queueing system with unlimited memory space and non-homogeneous customers (calls) of the two following types: 1) external customers that are served by the system under consideration, 2) internal customers that arrive and interrupt the service process only when an external customer is being served. The external customers appear according to a stationary Poisson process. Customers of each of the above-mentioned types are characterized by some random volume. The customer service time depends arbitrarily on its volume. Two schemes of customer service organization are analyzed. The non-stationary and stationary distributions of the total volume of customers present in the system are determined in terms of Laplace and Laplace-Stieltjes transforms. The stationary first and second moments of total customers volume are also calculated. The obtained results are used to approximate loss characteristics in analogous systems with limited buffer space. Numerical examples illustrating theoretical results are attached as well.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 539-551
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Building a non-homogeneous thermal environment for energy savings in the face of deep mines
Autorzy:
Li, Xian
Wu, Yaru
Zhang, Yunfei
Powiązania:
https://bibliotekanauki.pl/articles/2073873.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
kopalnia
chłodzenie kopalni
klimatyzacja w kopalni
mine face
cooling strategy
non-homogeneous environment
air cooler
necessary cooling space
Opis:
Heat exhaustion of mining environments can cause a significant threat to human health. The existing cooling strategies for the mine face aim to cool the whole face. However, the necessary cooling space for the face is small, with a considerable amount of energy for cooling being wasted. Necessary cooling space is a space occupied by the workers in the face. This study proposed to build a non-homogeneous thermal environment for cost-effective energy savings in the face. An inlet air cooler was laid out in the intake airway to cool the whole face to some extent, and the tracking air cooler was designed to track the worker who constantly moved to improve the thermal environment. The cooling load and air distribution for this cooling strategy were investigated. In addition, the airflow in the face was solved numerically to estimate the cooling effect. The results revealed that an average energy saving of approximately 35% could be achieved. The thermal environment of the necessary cooling space within at least 10 m was significantly improved. This cooling strategy should be taken into account in mine cooling.
Źródło:
Archives of Mining Sciences; 2021, 66, 3; 457--474
0860-7001
Pojawia się w:
Archives of Mining Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-8 z 8

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