Question

Locally bounded $\Leftrightarrow$ compactness

score 956 · Answer 1 · 2016-02-10 13:13:39

956

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Locally bounded $\Leftrightarrow$ compactness

Published on 10 Feb 2016 - 13:13

score 200 · Answer 2 · 2016-02-15 21:58:16

200

Views

Q. Normal operator and properties

Published on 15 Feb 2016 - 21:58

score 572 · Answer 3 · 2016-05-09 16:18:51

572

Views

Prove that if $\mathcal{F}'$ is normal and $\sup_{f ∈ \mathcal{F}} \{ |f(z_0)| \} < +∞$, then $\mathcal{F}$ is normal

Published on 09 May 2016 - 16:18

score 796 · Answer 4 · 2013-09-11 19:33:53

796

Views

Is there a flaw in this proof of Marty's theorem (normal families)?

Published on 11 Sep 2013 - 19:33

score 6.7k · Answer 5 · 2013-09-16 22:39:01

6.7k

Views

The family of analytic functions with positive real part is normal

Published on 16 Sep 2013 - 22:39

score 1.3k · Answer 6 · 2013-09-19 20:07:39

1.3k

Views

The family $\{ f(kz)\}_{k \in \mathbb C}$ with $f$ entire is normal in the annulus $r_1<|z|<r_2$ iff $f$ is a polynomial

Published on 19 Sep 2013 - 20:07

score 525 · Answer 7 · 2013-11-08 08:25:58

525

Views

Additional hypotheses needed for the converse of $\mathscr F \subset H(G)$ normal $\implies$ $\mathscr F ' = \{f' : f \in \mathscr F\}$ normal?

Published on 08 Nov 2013 - 8:25

score 335 · Answer 8 · 2013-11-26 23:00:35

335

Views

Proof of the three-point characterization of holomorphy

Published on 26 Nov 2013 - 23:00

score 334 · Answer 9 · 2017-04-11 20:29:48

334

Views

$\{f_n\}$ be a normal family on $V$ s.t. $\{z \in V : \lim _{n\to \infty} f_n(z)$ exists $\}$ has a limit point in $V$

Published on 11 Apr 2017 - 20:29

score 188 · Answer 10 · 2017-07-06 21:00:29

188

Views

An equivalent condition to show a family of holomorphic functions is normal

Published on 06 Jul 2017 - 21:00

score 381 · Answer 11 · 2017-09-21 12:45:13

381

Views

A problem of normal families

Published on 21 Sep 2017 - 12:45

score 2.7k · Answer 12 · 2017-12-19 12:28:53

2.7k

Views

Prove that the family of functions is normal

Published on 19 Dec 2017 - 12:28

score 748 · Answer 13 · 2011-08-22 20:53:49

748

Views

Show a certain subset of $\mathcal{O}(\mathbb{H})$ is a normal family

Published on 22 Aug 2011 - 20:53

score 1.3k · Answer 14 · 2013-03-01 03:34:14

1.3k

Views

A question about normal families

Published on 01 Mar 2013 - 3:34

score 135 · Answer 15 · 2020-08-16 01:07:35

135

Views

Family of functions with $f(0) = 0$ and $f(\mathbb{D}) \cap [1,2] = \emptyset$ is normal

Published on 16 Aug 2020 - 1:07

List Question

Locally bounded $\Leftrightarrow$ compactness

Q. Normal operator and properties

Prove that if $\mathcal{F}'$ is normal and $\sup_{f ∈ \mathcal{F}} \{ |f(z_0)| \} < +∞$, then $\mathcal{F}$ is normal

Is there a flaw in this proof of Marty's theorem (normal families)?

The family of analytic functions with positive real part is normal

The family $\{ f(kz)\}_{k \in \mathbb C}$ with $f$ entire is normal in the annulus $r_1<|z|<r_2$ iff $f$ is a polynomial

Additional hypotheses needed for the converse of $\mathscr F \subset H(G)$ normal $\implies$ $\mathscr F ' = \{f' : f \in \mathscr F\}$ normal?

Proof of the three-point characterization of holomorphy

$\{f_n\}$ be a normal family on $V$ s.t. $\{z \in V : \lim _{n\to \infty} f_n(z)$ exists $\}$ has a limit point in $V$

An equivalent condition to show a family of holomorphic functions is normal

A problem of normal families

Prove that the family of functions is normal

Show a certain subset of $\mathcal{O}(\mathbb{H})$ is a normal family

A question about normal families

Family of functions with $f(0) = 0$ and $f(\mathbb{D}) \cap [1,2] = \emptyset$ is normal

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