```json
{
	"no": ["no"],
	"yes": ["yes"]
}
```

Based on the given information, the feature "zab_leg_03" represents the presence or absence of bronchial asthma in the patient's medical history. In this case, the feature is a categorical variable with two possible categories: "no" and "yes".

To analyze the relationship between this feature and the presence of chronic heart failure (target variable), we can examine the values of "zab_leg_03" for patients with and without chronic heart failure.

Since there are only two categories for this feature, we can see that in the "no" class (patients without chronic heart failure), the possible value for "zab_leg_03" is "no". In the "yes" class (patients with chronic heart failure), the possible value for "zab_leg_03" is "yes".

Therefore, the dictionary representing the relationship between the feature "zab_leg_03" and the target variable "chronic heart failure" is as follows:

```json
{
	"no": ["no"],
	"yes": ["yes"]
}
```